Mining Erdős Problems

A scraped table of open problems from the Erdős Problems site, scored for estimated hardness and mathematical interest on a 0 to 100 scale.

The problem list is scraped from erdosproblems.com, using the site’s open-problem filter. Scraped 2026-05-03; 682 open problems.

Scores are model-generated estimates, not authoritative difficulty ratings. They are intended as a rough way to sort and browse the open-problem list.

Scoring Prompt Draft

Do a targeted literature review. Search the problem page, its remarks/references, and recent web/arXiv literature for relevant progress, partial results, and context. Spend some effort thinking about plausible solution approaches and barriers. Do not write a proof attempt unless it is genuinely useful for scoring.

Return JSON with problem_id, hardness, interestingness, hardness_rationale, interestingness_rationale, literature_review, solve_attempt_notes, confidence, and status_caveat. Hardness and interestingness are integers from 0 to 100. Confidence is a number from 0 to 1 measuring confidence in the two scores, considering source quality, amount of literature found, and clarity of the problem’s current status.

For hardness, 100 means an extremely hard frontier-level open problem and 50 means a serious but narrower research problem. For interestingness, 100 means a solution would likely be highly influential or conceptually important.

Hardness vs. Interest

Showing 682 problems
Details
#1 88 86 $500 Problem page
#3 94 96 $5,000 Problem page
#5 92 89 Problem page
#7 82 76 $25 Problem page
#9 78 73 Problem page
#10 92 84 Problem page
#11 88 82 Problem page
#12 78 74 Problem page
#14 84 79 Problem page
#15 89 77 Problem page
#17 90 82 Problem page
#18 82 73 $250 Problem page
#20 94 97 $1,000 Problem page
#23 80 83 Problem page
#25 72 67 Problem page
#28 93 90 $500 Problem page
#30 91 87 $1,000 Problem page
#32 84 78 $50 Problem page
#33 76 67 Problem page
#36 77 70 Problem page
#39 88 86 $500 Problem page
#40 97 95 $500 Problem page
#41 83 77 $500 Problem page
#42 58 72 Problem page
#43 62 58 $100 Problem page
#44 86 82 Problem page
#50 74 61 $250 Problem page
#51 84 72 Problem page
#52 97 96 $250 Problem page
#60 84 81 Problem page
#61 97 96 Problem page
#62 86 80 Problem page
#64 78 81 $1,000 Problem page
#65 62 65 Problem page
#66 83 78 $500 Problem page
#68 73 55 Problem page
#70 86 78 Problem page
#74 86 82 $500 Problem page
#75 78 74 Problem page
#77 98 99 $250 Problem page
#78 93 95 $100 Problem page
#80 82 79 Problem page
#81 76 67 Problem page
#82 84 78 Problem page
#84 74 65 Problem page
#85 68 57 Problem page
#86 84 82 $100 Problem page
#87 91 86 Problem page
#89 94 96 $500 Problem page
#90 97 97 $500 Problem page
#91 87 76 Problem page
#92 92 89 $500 Problem page
#96 83 78 Problem page
#97 82 78 $100 Problem page
#98 86 81 Problem page
#99 83 67 $100 Problem page
#100 74 70 Problem page
#101 87 82 $100 Problem page
#102 89 84 Problem page
#103 84 63 Problem page
#104 88 84 $100 Problem page
#106 76 68 Problem page
#107 98 96 $500 Problem page
#108 88 86 Problem page
#111 86 81 Problem page
#112 88 82 Problem page
#114 65 61 $250 Problem page
#117 70 59 Problem page
#119 84 79 $100 Problem page
#120 92 88 $100 Problem page
#122 78 70 Problem page
#123 70 66 $250 Problem page
#124 73 66 Problem page
#126 82 72 $250 Problem page
#128 82 78 $250 Problem page
#129 0 12 Problem page
#130 86 78 Problem page
#131 78 68 Problem page
#132 79 74 $100 Problem page
#137 88 78 Problem page
#138 96 91 $500 Problem page
#141 94 86 Problem page
#142 99 98 $10,000 Problem page
#143 83 76 $500 Problem page
#145 82 72 Problem page
#146 88 91 $500 Problem page
#148 80 73 Problem page
#149 93 87 Problem page
#151 82 74 Problem page
#153 76 63 Problem page
#155 78 66 Problem page
#156 76 70 Problem page
#158 76 70 Problem page
#159 90 87 $100 Problem page
#160 78 76 Problem page
#161 86 83 $500 Problem page
#162 96 91 Problem page
#165 94 97 $250 Problem page
#167 86 84 Problem page
#168 72 59 Problem page
#169 90 85 Problem page
#170 84 78 Problem page
#172 90 94 Problem page
#173 86 85 Problem page
#174 95 92 Problem page
#176 79 76 Problem page
#177 85 78 Problem page
#180 8 45 Problem page
#181 90 89 Problem page
#183 97 94 $250 Problem page
#184 87 85 Problem page
#187 82 78 Problem page
#188 76 69 Problem page
#190 58 64 Problem page
#193 80 72 Problem page
#195 78 72 Problem page
#196 82 76 Problem page
#197 72 63 Problem page
#200 89 82 Problem page
#201 84 77 Problem page
#202 75 82 Problem page
#203 74 63 Problem page
#208 92 84 Problem page
#212 94 95 Problem page
#213 88 84 Problem page
#217 76 63 Problem page
#218 91 84 Problem page
#222 86 79 Problem page
#233 94 88 Problem page
#234 92 87 Problem page
#236 86 76 Problem page
#238 74 61 Problem page
#241 87 82 $100 Problem page
#242 90 83 Problem page
#243 78 69 Problem page
#244 84 76 Problem page
#247 93 90 Problem page
#249 86 72 Problem page
#251 86 66 Problem page
#252 88 76 Problem page
#254 82 70 Problem page
#256 86 76 Problem page
#257 80 72 Problem page
#260 82 74 Problem page
#261 75 63 Problem page
#263 78 70 Problem page
#264 84 73 Problem page
#265 78 73 Problem page
#267 81 73 Problem page
#269 74 62 Problem page
#271 78 66 Problem page
#272 67 61 Problem page
#273 72 60 Problem page
#274 82 75 Problem page
#276 74 66 Problem page
#278 68 55 Problem page
#279 76 66 Problem page
#282 84 74 Problem page
#283 74 69 Problem page
#287 72 57 Problem page
#288 78 61 Problem page
#289 73 60 Problem page
#291 74 63 Problem page
#293 80 69 Problem page
#295 77 62 Problem page
#301 78 72 Problem page
#302 74 67 Problem page
#304 84 72 Problem page
#306 83 72 Problem page
#307 74 63 Problem page
#311 84 76 Problem page
#312 70 61 Problem page
#313 84 70 Problem page
#317 76 62 Problem page
#319 72 60 Problem page
#320 80 72 Problem page
#321 76 66 Problem page
#322 88 84 Problem page
#323 93 86 Problem page
#324 84 78 Problem page
#325 90 86 Problem page
#326 76 68 Problem page
#327 78 70 Problem page
#329 83 79 Problem page
#330 60 64 Problem page
#332 62 61 Problem page
#334 89 84 Problem page
#335 86 80 Problem page
#336 84 74 Problem page
#338 82 74 Problem page
#340 86 78 Problem page
#341 78 65 Problem page
#342 82 72 Problem page
#345 78 57 Problem page
#346 76 64 Problem page
#348 70 58 Problem page
#349 82 73 Problem page
#351 72 70 Problem page
#352 75 72 Problem page
#354 70 64 Problem page
#357 79 72 Problem page
#359 82 63 Problem page
#361 80 73 Problem page
#364 84 73 Problem page
#365 88 82 Problem page
#366 78 61 Problem page
#367 88 82 Problem page
#368 90 84 Problem page
#371 82 78 Problem page
#373 80 67 Problem page
#374 82 70 Problem page
#375 91 86 Problem page
#376 80 70 Problem page
#377 82 74 Problem page
#382 85 74 Problem page
#383 87 74 Problem page
#385 92 79 Problem page
#386 88 67 Problem page
#387 72 74 Problem page
#388 84 70 Problem page
#389 76 66 Problem page
#390 74 62 Problem page
#393 84 67 Problem page
#394 80 67 Problem page
#396 73 62 Problem page
#398 86 74 Problem page
#400 78 64 Problem page
#404 74 64 Problem page
#406 88 82 Problem page
#408 88 82 Problem page
#409 78 64 Problem page
#410 82 67 Problem page
#411 74 58 Problem page
#412 84 68 Problem page
#413 86 75 Problem page
#414 74 56 Problem page
#415 84 65 Problem page
#416 84 78 Problem page
#417 84 74 Problem page
#420 88 76 Problem page
#421 70 62 Problem page
#422 83 72 Problem page
#423 72 64 Problem page
#424 76 64 Problem page
#425 79 70 Problem page
#428 88 79 Problem page
#430 93 84 Problem page
#431 88 84 Problem page
#432 82 73 Problem page
#436 78 70 Problem page
#445 87 78 Problem page
#450 72 58 Problem page
#451 82 70 Problem page
#452 82 72 Problem page
#454 88 72 Problem page
#455 78 66 Problem page
#456 82 66 Problem page
#458 82 64 Problem page
#460 68 53 Problem page
#461 74 58 Problem page
#462 84 72 Problem page
#463 88 76 Problem page
#467 84 83 Problem page
#468 76 58 Problem page
#469 76 62 Problem page
#470 84 63 $10 Problem page
#472 74 52 Problem page
#474 88 82 $100 Problem page
#475 32 60 Problem page
#477 82 71 Problem page
#478 89 77 Problem page
#479 84 67 Problem page
#483 91 88 Problem page
#486 72 70 Problem page
#488 72 62 Problem page
#489 74 61 Problem page
#495 97 96 Problem page
#500 97 99 $500 Problem page
#501 76 64 Problem page
#503 76 69 Problem page
#507 92 88 Problem page
#508 96 98 Problem page
#509 82 76 Problem page
#510 89 90 Problem page
#513 83 72 Problem page
#514 55 64 Problem page
#517 83 74 Problem page
#520 84 86 Problem page
#521 68 76 Problem page
#522 70 68 Problem page
#524 72 73 Problem page
#528 96 86 Problem page
#529 92 89 Problem page
#530 78 74 Problem page
#531 88 86 Problem page
#535 82 74 Problem page
#536 82 75 Problem page
#538 72 58 Problem page
#539 80 71 Problem page
#544 88 80 Problem page
#545 91 84 Problem page
#548 86 91 $100 Problem page
#550 73 67 Problem page
#552 80 73 $100 Problem page
#554 84 81 Problem page
#555 88 81 Problem page
#557 78 76 Problem page
#558 86 84 Problem page
#560 84 83 Problem page
#561 68 61 Problem page
#562 97 95 Problem page
#563 97 96 Problem page
#564 98 96 $500 Problem page
#566 87 88 Problem page
#567 78 76 Problem page
#568 88 84 Problem page
#569 66 63 Problem page
#571 90 93 Problem page
#572 91 93 Problem page
#573 91 89 Problem page
#575 5 18 Problem page
#576 95 93 Problem page
#579 82 86 Problem page
#580 28 34 Problem page
#583 85 82 Problem page
#584 72 66 Problem page
#585 77 73 Problem page
#588 88 86 $100 Problem page
#589 84 79 Problem page
#592 88 82 $1,000 Problem page
#593 95 88 $500 Problem page
#595 90 83 $250 Problem page
#596 86 79 Problem page
#597 82 74 Problem page
#598 90 84 Problem page
#600 79 74 Problem page
#601 88 82 $500 Problem page
#602 72 63 Problem page
#603 18 42 Problem page
#604 94 93 $500 Problem page
#609 86 83 Problem page
#610 0 72 Problem page
#611 80 73 Problem page
#612 64 70 Problem page
#614 82 68 Problem page
#616 78 66 Problem page
#617 74 63 Problem page
#619 66 55 Problem page
#620 83 82 Problem page
#623 88 86 Problem page
#624 83 70 Problem page
#625 74 70 $1,000 Problem page
#626 86 82 Problem page
#627 92 88 Problem page
#628 90 88 Problem page
#629 84 80 Problem page
#634 80 72 $25 Problem page
#635 64 54 Problem page
#638 78 82 Problem page
#640 83 82 Problem page
#642 82 84 Problem page
#643 85 78 Problem page
#644 76 69 Problem page
#647 84 63 $44 Problem page
#653 74 61 Problem page
#654 74 64 Problem page
#655 0 22 Problem page
#657 84 81 Problem page
#660 78 67 Problem page
#661 80 78 $50 Problem page
#662 32 44 Problem page
#663 77 67 Problem page
#665 90 86 Problem page
#667 84 76 Problem page
#668 88 64 Problem page
#669 82 78 Problem page
#670 79 72 Problem page
#671 80 72 $250 Problem page
#672 87 84 Problem page
#675 82 76 Problem page
#676 80 67 Problem page
#677 74 61 Problem page
#679 89 82 Problem page
#680 90 80 Problem page
#681 86 74 Problem page
#683 88 82 Problem page
#684 75 67 Problem page
#685 84 77 Problem page
#686 73 61 Problem page
#687 90 87 $1,000 Problem page
#688 82 77 Problem page
#689 70 74 Problem page
#690 74 56 Problem page
#691 88 83 Problem page
#693 84 78 Problem page
#695 89 78 Problem page
#696 66 64 Problem page
#699 70 62 Problem page
#700 78 66 Problem page
#701 90 88 Problem page
#704 90 88 Problem page
#706 86 80 Problem page
#708 73 61 $100 Problem page
#709 74 61 Problem page
#710 78 66 $78 Problem page
#711 91 87 $78 Problem page
#712 99 99 $500 Problem page
#713 97 96 $500 Problem page
#714 91 90 Problem page
#719 82 74 Problem page
#723 98 96 Problem page
#724 87 80 Problem page
#725 89 86 Problem page
#726 82 74 Problem page
#727 82 72 Problem page
#730 74 64 Problem page
#731 74 68 Problem page
#734 72 61 Problem page
#736 90 82 Problem page
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#750 66 76 Problem page
#757 72 64 Problem page
#761 87 84 Problem page
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#768 78 64 Problem page
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#770 83 72 Problem page
#773 82 78 Problem page
#774 83 80 Problem page
#776 58 51 Problem page
#778 72 66 Problem page
#779 82 64 Problem page
#782 88 82 Problem page
#786 74 70 Problem page
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#790 82 73 Problem page
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#796 74 62 Problem page
#802 90 92 Problem page
#805 86 84 Problem page
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#810 90 88 Problem page
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#827 68 55 Problem page
#828 82 74 Problem page
#829 84 81 Problem page
#830 93 87 Problem page
#831 78 66 Problem page
#835 78 64 Problem page
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#837 94 89 Problem page
#838 78 73 Problem page
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#840 82 76 Problem page
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#852 82 67 Problem page
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#855 94 86 Problem page
#856 79 76 Problem page
#857 88 86 Problem page
#859 78 66 Problem page
#860 80 68 Problem page
#864 68 62 Problem page
#865 70 68 Problem page
#866 80 74 Problem page
#870 72 67 Problem page
#872 76 72 Problem page
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#875 80 70 Problem page
#876 73 67 Problem page
#878 76 58 Problem page
#879 82 67 Problem page
#881 68 62 Problem page
#883 72 61 Problem page
#885 88 77 Problem page
#886 79 74 Problem page
#887 82 74 Problem page
#888 64 61 Problem page
#889 78 67 Problem page
#890 84 74 Problem page
#891 84 70 Problem page
#892 86 76 Problem page
#893 75 63 Problem page
#901 88 86 Problem page
#902 83 74 Problem page
#906 55 54 Problem page
#911 86 78 Problem page
#912 86 72 Problem page
#913 82 62 Problem page
#917 88 84 Problem page
#918 88 84 Problem page
#919 87 76 Problem page
#920 92 89 Problem page
#928 86 82 Problem page
#929 88 84 Problem page
#930 86 72 Problem page
#931 82 70 Problem page
#932 92 81 Problem page
#933 78 66 Problem page
#934 82 78 Problem page
#935 83 73 Problem page
#936 88 74 Problem page
#938 84 68 Problem page
#939 87 74 Problem page
#940 90 84 Problem page
#942 82 72 Problem page
#943 77 62 Problem page
#944 86 78 Problem page
#945 82 76 Problem page
#948 86 78 Problem page
#949 72 67 Problem page
#950 86 68 Problem page
#951 78 74 Problem page
#952 86 79 Problem page
#953 58 62 Problem page
#954 83 69 Problem page
#955 82 77 Problem page
#956 55 70 Problem page
#959 72 61 Problem page
#961 84 76 Problem page
#962 86 78 Problem page
#963 68 72 Problem page
#968 86 74 Problem page
#969 97 91 Problem page
#970 84 78 Problem page
#971 88 78 Problem page
#972 90 82 Problem page
#973 76 68 Problem page
#975 86 78 Problem page
#976 88 84 Problem page
#978 91 88 Problem page
#979 78 68 Problem page
#982 84 79 Problem page
#983 72 68 Problem page
#985 80 68 Problem page
#986 94 96 Problem page
#993 78 76 Problem page
#995 72 78 Problem page
#996 74 76 Problem page
#1002 83 76 Problem page
#1003 88 82 Problem page
#1004 76 62 Problem page
#1005 64 56 Problem page
#1011 86 82 Problem page
#1013 88 89 Problem page
#1016 84 73 Problem page
#1017 78 75 Problem page
#1020 92 90 Problem page
#1029 92 95 $100 Problem page
#1030 91 86 Problem page
#1032 86 80 Problem page
#1033 78 67 Problem page
#1035 78 73 Problem page
#1038 72 68 Problem page
#1039 72 67 Problem page
#1040 63 66 Problem page
#1041 74 62 Problem page
#1045 86 78 Problem page
#1049 82 69 Problem page
#1052 83 61 $10 Problem page
#1053 84 72 Problem page
#1054 63 48 Problem page
#1055 86 69 Problem page
#1056 76 64 Problem page
#1057 93 88 Problem page
#1059 78 63 Problem page
#1060 78 62 Problem page
#1061 78 60 Problem page
#1062 78 64 Problem page
#1063 64 50 Problem page
#1065 89 78 Problem page
#1066 76 70 Problem page
#1068 83 81 Problem page
#1070 87 86 Problem page
#1072 88 76 Problem page
#1073 86 73 Problem page
#1074 80 68 Problem page
#1075 92 90 Problem page
#1082 78 74 Problem page
#1083 92 91 Problem page
#1084 82 77 Problem page
#1085 95 96 Problem page
#1086 82 74 Problem page
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#1092 8 58 Problem page
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#1094 78 64 Problem page
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#1097 84 77 Problem page
#1100 78 69 Problem page
#1101 86 78 Problem page
#1103 82 75 Problem page
#1104 86 85 Problem page
#1106 82 63 Problem page
#1107 78 73 Problem page
#1108 88 77 Problem page
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#1110 63 58 Problem page
#1111 83 80 Problem page
#1112 68 56 Problem page
#1113 86 81 Problem page
#1117 78 67 Problem page
#1120 78 66 Problem page
#1122 79 76 Problem page
#1131 76 64 Problem page
#1132 76 70 Problem page
#1133 63 66 Problem page
#1135 100 97 $500 Problem page
#1137 93 76 Problem page
#1138 18 42 Problem page
#1139 80 74 Problem page
#1142 88 72 Problem page
#1143 93 91 Problem page
#1144 78 73 Problem page
#1145 92 89 Problem page
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#1150 86 82 Problem page
#1151 58 56 Problem page
#1152 76 70 Problem page
#1154 82 79 Problem page
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#1156 91 90 Problem page
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#1160 78 65 Problem page
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#1163 82 70 Problem page
#1167 87 79 Problem page
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#1171 82 72 Problem page
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#1183 72 67 Problem page
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#1186 84 81 Problem page
#1188 72 65 Problem page
#1189 73 69 Problem page
#1190 62 74 Problem page
#1191 92 86 $1,000 Problem page
#1192 82 76 Problem page
#1194 68 59 Problem page
#1199 82 80 Problem page
#1200 86 78 Problem page
#1201 42 56 Problem page
#1203 82 74 Problem page
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#1217 72 82 Problem page