PWP
( A077797 ) | Formula exp = # of digits |
| Length 3 |  Total = 15 |
| (1)10(1)1 |
(103-1)/9 - 101 |
| (1)13(1)1 |
(103-1)/9 + 2*101 |
| (1)15(1)1 |
(103-1)/9 + 4*101 |
| (1)18(1)1 |
(103-1)/9 + 7*101 |
| (1)19(1)1 |
(103-1)/9 + 8*101 |
| (3)11(3)1 |
(103-1)/3 - 2*101 |
| (3)15(3)1 |
(103-1)/3 + 2*101 |
| (3)17(3)1 |
(103-1)/3 + 4*101 |
| (3)18(3)1 |
(103-1)/3 + 5*101 |
| (7)12(7)1 |
7*(103-1)/9 - 5*101 |
| (7)15(7)1 |
7*(103-1)/9 - 2*101 |
| (7)18(7)1 |
7*(103-1)/9 + 101 |
| (7)19(7)1 |
7*(103-1)/9 + 2*101 |
| (9)11(9)1 |
(103-1) - 8*101 |
| (9)12(9)1 |
(103-1) - 7*101 |
| Length 5 |  Total = 6 |
| (1)23(1)2 |
(105-1)/9 + 2*102 |
| (1)24(1)2 |
(105-1)/9 + 3*102 |
| (3)25(3)2 |
(105-1)/3 + 2*102 |
| (7)23(7)2 |
7*(105-1)/9 - 4*102 |
| (7)24(7)2 |
7*(105-1)/9 - 3*102 |
| (7)29(7)2 |
7*(105-1)/9 + 2*102 |
| Length 7 |  Total = 7 |
| (1)34(1)3 |
(107-1)/9 + 3*103 |
| (1)37(1)3 |
(107-1)/9 + 6*103 |
| (3)31(3)3 |
(107-1)/3 - 2*103 |
| (3)37(3)3 |
(107-1)/3 + 4*103 |
| (7)32(7)3 |
7*(107-1)/9 - 5*103 |
| (7)34(7)3 |
7*(107-1)/9 - 3*103 |
| (7)38(7)3 |
7*(107-1)/9 + 103 |
| Length 9 |  Total = 3 |
| (1)48(1)4 |
(109-1)/9 + 7*104 |
| (1)49(1)4 |
(109-1)/9 + 8*104 |
| (7)46(7)4 |
7*(109-1)/9 - 104 |
| Length 11 |  Total = 2 |
| (7)56(7)5 |
7*(1011-1)/9 - 105 |
| (9)51(9)5 |
(1011-1) - 8*105 |
| Length 13 |  Total = 2 |
| (1)68(1)6 |
(1013-1)/9 + 7*106 |
| (7)64(7)6 |
7*(1013-1)/9 - 3*106 |
| Length 15 |  Total = 7 |
| (1)75(1)7 |
(1015-1)/9 + 4*107 |
| (1)78(1)7 |
(1015-1)/9 + 7*107 |
| (3)71(3)7 |
(1015-1)/3 - 2*107 |
| (3)77(3)7 |
(1015-1)/3 + 4*107 |
| (3)78(3)7 |
(1015-1)/3 + 5*107 |
| (7)72(7)7 |
7*(1015-1)/9 - 5*107 |
| (7)75(7)7 |
7*(1015-1)/9 - 2*107 |
| Length 17 |  Total = 3 |
| (7)86(7)8 |
7*(1017-1)/9 - 108 |
| (7)89(7)8 |
7*(1017-1)/9 + 2*108 |
| (9)82(9)8 |
(1017-1) - 7*108 |
| Length 19 |  Total = 1 |
| (9)92(9)9 |
(1019-1) - 7*109 |
| Length 21 |  Total = 2 |
| (1)106(1)10 |
(1021-1)/9 + 5*1010 |
| (7)102(7)10 |
7*(1021-1)/9 - 5*1010 |
| Length 23 |  Total = 2 |
| (3)117(3)11 |
(1023-1)/3 + 4*1011 |
| (7)116(7)11 |
7*(1023-1)/9 - 1011 |
| Length 25 |  Total = 1 |
| (7)122(7)12 |
7*(1025-1)/9 - 5*1012 |
| Length 27 |  Total = 3 |
| (3)137(3)13 |
(1027-1)/3 + 4*1013 |
| (7)135(7)13 |
7*(1027-1)/9 - 2*1013 |
| (9)131(9)13 |
(1027-1) - 8*1013 |
| Length 29 |  Total = 2 |
| (1)146(1)14 |
(1029-1)/9 + 5*1014 |
| (9)144(9)14 |
(1029-1) - 5*1014 |
| Length 35 |  Total = 2 |
| (3)175(3)17 |
(1035-1)/3 + 2*1017 |
| (3)177(3)17 |
(1035-1)/3 + 4*1017 |
| Length 39 |  Total = 2 |
| (1)193(1)19 |
(1039-1)/9 + 2*1019 |
| (7)199(7)19 |
7*(1039-1)/9 + 2*1019 |
| Length 41 |  Total = 1 |
| (7)209(7)20 |
7*(1041-1)/9 + 2*1020 |
| Length 45 |  Total = 1 |
| (9)224(9)22 |
(1045-1) - 5*1022 |
| Length 47 |  Total = 1 |
| (7)234(7)23 |
7*(1047-1)/9 - 3*1023 |
| Length 53 |  Total = 2 |
| (1)269(1)26 |
(1053-1)/9 + 8*1026 |
| (9)268(9)26 |
(1053-1) - 1026 |
| Length 59 |  Total = 1 |
| (3)297(3)29 |
(1059-1)/3 + 4*1029 |
| Length 63 |  Total = 1 |
| (3)317(3)31 |
(1063-1)/3 + 4*1031 |
| Length 65 |  Total = 1 |
| (1)324(1)32 |
(1065-1)/9 + 3*1032 |
| Length 67 |  Total = 2 |
| (1)337(1)33 |
(1067-1)/9 + 6*1033 |
| (3)337(3)33 |
(1067-1)/3 + 4*1033 |
| Length 73 |  Total = 2 |
| (7)364(7)36 |
7*(1073-1)/9 - 3*1036 |
| (9)364(9)36 |
(1073-1) - 5*1036 |
| Length 79 |  Total = 1 |
| (7)398(7)39 |
7*(1079-1)/9 + 1039 |
| Length 81 |  Total = 1 |
| (1)406(1)40 |
(1081-1)/9 + 5*1040 |
| Length 87 |  Total = 1 |
| (9)431(9)43 |
(1087-1) - 8*1043 |
| Length 91 |  Total = 2 |
| (1)454(1)45 |
(1091-1)/9 + 3*1045 |
| (1)455(1)45 |
(1091-1)/9 + 4*1045 |
| Length 109 |  Total = 1 |
| (7)548(7)54 |
7*(10109-1)/9 + 1054 |
| Length 117 |  Total = 1 |
| (7)585(7)58 |
7*(10117-1)/9 - 2*1058 |
| Length 119 |  Total = 1 |
| (1)596(1)59 |
(10119-1)/9 + 5*1059 |
| Length 123 |  Total = 1 |
| (3)611(3)61 |
(10123-1)/3 - 2*1061 |
| Length 139 |  Total = 1 |
| (7)694(7)69 |
7*(10139-1)/9 - 3*1069 |
| Length 155 |  Total = 1 |
| (3)777(3)77 |
(10155-1)/3 + 4*1077 |
| Length 159 |  Total = 1 |
| (3)795(3)79 |
(10159-1)/3 + 2*1079 |
| Length 171 |  Total = 1 |
| (3)858(3)85 |
(10171-1)/3 + 5*1085 |
| Length 177 |  Total = 1 |
| (9)885(9)88 |
(10177-1) - 4*1088 |
| Length 181 |  Total = 1 |
| (3)901(3)90 |
(10181-1)/3 - 2*1090 |
| Length 185 |  Total = 1 |
| (3)921(3)92 |
(10185-1)/3 - 2*1092 |
| Length 189 |  Total = 1 |
| (3)948(3)94 |
(10189-1)/3 + 5*1094 |
| Length 195 |  Total = 1 |
| (1)973(1)97 |
(10195-1)/9 + 2*1097 |
| Length 209 |  Total = 1 |
| (9)1044(9)104 |
(10209-1) - 5*10104 |
| Length 225 |  Total = 1 |
| (9)1125(9)112 |
(10225-1) - 4*10112 |
| Length 231 |  Total = 1 |
| (1)1155(1)115 |
(10231-1)/9 + 4*10115 |
| Length 233 |  Total = 1 |
| (7)1161(7)116 |
7*(10233-1)/9 - 6*10116 |
| Length 237 |  Total = 2 |
| (3)1185(3)118 |
(10237-1)/3 + 2*10118 |
| (9)1187(9)118 |
(10237-1) - 2*10118 |
| Length 259 |  Total = 1 |
| (7)1295(7)129 |
7*(10259-1)/9 - 2*10129 |
| Length 321 |  Total = 1 |
| (1)1606(1)160 |
(10321-1)/9 + 5*10160 |
| Length 325 |  Total = 1 |
| (3)1625(3)162 |
(10325-1)/3 + 2*10162 |
| Length 337 |  Total = 1 |
| (7)1688(7)168 |
7*(10337-1)/9 + 10168 |
| Length 339 |  Total = 1 |
| (9)1691(9)169 |
(10339-1) - 8*10169 |
| Length 355 |  Total = 1 |
| (3)1775(3)177 |
(10355-1)/3 + 2*10177 |
| Length 363 |  Total = 1 |
| (9)1811(9)181 |
(10363-1) - 8*10181 |
| Length 371 |  Total = 1 |
| (3)1855(3)185 |
(10371-1)/3 + 2*10185 |
| Length 375 |  Total = 1 |
| (1)1879(1)187 |
(10375-1)/9 + 8*10187 |
| Length 397 |  Total = 1 |
| (9)1985(9)198 |
(10397-1) - 4*10198 |
| Length 425 |  Total = 1 |
| (7)2129(7)212 |
7*(10425-1)/9 + 2*10212 |
| Length 453 |  Total = 1 |
| (1)2269(1)226 |
(10453-1)/9 + 8*10226 |
| Length 481 |  Total = 2 |
| (3)2405(3)240 |
(10481-1)/3 + 2*10240 |
| (7)2408(7)240 |
7*(10481-1)/9 + 10240 |
| Length 507 |  Total = 1 |
| (7)2535(7)253 |
7*(10507-1)/9 - 2*10253 |
| Length 539 |  Total = 1 |
| (3)2691(3)269 |
(10539-1)/3 - 2*10269 |
| Length 547 |  Total = 1 |
| (3)2738(3)273 |
(10547-1)/3 + 5*10273 |
| Length 561 |  Total = 1 |
| (7)2809(7)280 |
7*(10561-1)/9 + 2*10280 |
| Length 597 |  Total = 1 |
| (3)2981(3)298 |
(10597-1)/3 - 2*10298 |
| Length 623 |  Total = 1 |
| (1)3117(1)311 |
(10623-1)/9 + 6*10311 |
| Length 643 |  Total = 1 |
| (3)3211(3)321 |
(10643-1)/3 - 2*10321 |
| Length 705 |  Total = 1 |
| (9)3522(9)352 |
(10705-1) - 7*10352 |
| Length 713 |  Total = 1 |
| (3)3568(3)356 |
(10713-1)/3 + 5*10356 |
| Length 743 |  Total = 1 |
| (3)3711(3)371 |
(10743-1)/3 - 2*10371 |
| Length 757 |  Total = 1 |
| (9)3788(9)378 |
(10757-1) - 10378 |
| Length 769 |  Total = 1 |
| (1)3848(1)384 |
(10769-1)/9 + 7*10384 |
| Length 825 |  Total = 1 |
| (1)4126(1)412 |
(10825-1)/9 + 5*10412 |
| Length 961 |  Total = 1 |
| (7)4802(7)480 |
7*(10961-1)/9 - 5*10480 |
| Length 1061 |  Total = 1 |
| (9)5302(9)530 |
(101061-1) - 7*10530 |
| Length 1121 |  Total = 1 |
| (1)5606(1)560 |
(101121-1)/9 + 5*10560 |
| Length 1123 |  Total = 1 |
| (7)5614(7)561 |
7*(101123-1)/9 - 3*10561 |
| Length 1245 |  Total = 1 |
| (9)6225(9)622 |
(101245-1) - 4*10622 |
| Length 1333 |  Total = 1 |
| (1)6668(1)666 |
(101333-1)/9 + 7*10666 |
| Length 1351 |  Total = 1 |
| (1)6758(1)675 |
(101351-1)/9 + 7*10675 |
| Length 1363 |  Total = 1 |
| (1)6815(1)681 |
(101363-1)/9 + 4*10681 |
| Length 1395 |  Total = 1 |
| (9)6972(9)697 |
(101395-1) - 7*10697 |
| Length 1447 |  Total = 1 |
| (7)7234(7)723 |
7*(101447-1)/9 - 3*10723 |
| Length 1553 |  Total = 1 |
| (3)7761(3)776 |
(101553-1)/3 - 2*10776 |
| Length 1649 |  Total = 1 |
| (3)8245(3)824 |
(101649-1)/3 + 2*10824 |
| Length 1749 |  Total = 1 |
| (1)8749(1)874 |
(101749-1)/9 + 8*10874 |
| Length 1775 |  Total = 1 |
| (7)8879(7)887 |
7*(101775-1)/9 + 2*10887 |
| Length 1867 |  Total = 1 |
| (3)9337(3)933 |
(101867-1)/3 + 4*10933 |
| Length 1899 |  Total = 1 |
| (7)9492(7)949 |
7*(101899-1)/9 - 5*10949 |
| Length 2043 |  Total = 1 |
| (7)10219(7)1021 |
7*(102043-1)/9 + 2*101021 |
| Length 2155 |  Total = 1 |
| (3)10778(3)1077 |
(102155-1)/3 + 5*101077 |
| Length 2273 |  Total = 1 |
| (9)11364(9)1136 |
(102273-1) - 5*101136 |
| Length 2489 |  Total = 1 |
| (7)12446(7)1244 |
7*(102489-1)/9 - 101244 |
| Length 2493 |  Total = 1 |
| (9)12468(9)1246 |
(102493-1) - 101246 |
| Length 2497 |  Total = 1 |
| (1)12485(1)1248 |
(102497-1)/9 + 4*101248 |
| Length 2579 |  Total = 1 |
| (1)12896(1)1289 |
(102579-1)/9 + 5*101289 |
| Length 2631 |  Total = 1 |
| (9)13152(9)1315 |
(102631-1) - 7*101315 |
From here on not all PWP's are prime proven! |
| Length 3089 |  Total = 1 |
| (1)15444(1)1544 |
(103089-1)/9 + 3*101544 |
| Length 3111 |  Total = 1 |
| (3)15557(3)1555 |
(103111-1)/3 + 4*101555 |
| Length 3135 |  Total = 1 |
| (3)15671(3)1567 |
(103135-1)/3 - 2*101567 |
| Length 3159 |  Total = 1 |
| (9)15791(9)1579 |
(103159-1) - 8*101579 |
| Length 3315 |  Total = 1 |
| (7)16575(7)1657 |
7*(103315-1)/9 - 2*101657 |
| Length 3371 |  Total = 1 |
| (7)16856(7)1685 |
7*(103371-1)/9 - 101685 |
| Length 3595 |  Total = 1 |
| (3)17978(3)1797 |
(103595-1)/3 + 5*101797 |
| Length 3597 |  Total = 1 |
| (9)17988(9)1798 |
(103597-1) - 101798 |
| Length 3641 |  Total = 1 |
| (3)18205(3)1820 |
(103641-1)/3 + 2*101820 |
| Length 3693 |  Total = 1 |
| (1)18466(1)1846 |
(103693-1)/9 + 5*101846 |
| Length 3837 |  Total = 1 |
| (9)19182(9)1918 |
(103837-1) - 7*101918 |
| Length 3891 |  Total = 1 |
| (7)19452(7)1945 |
7*(103891-1)/9 - 5*101945 |
| Length 4019 |  Total = 1 |
| (7)20096(7)2009 |
7*(104019-1)/9 - 102009 |
| Length 4489 |  Total = 1 |
| (7)22445(7)2244 |
7*(104489-1)/9 - 2*102244 |
| Length 4709 |  Total = 1 |
| (3)23545(3)2354 |
(104709-1)/3 + 2*102354 |
| Length 4769 |  Total = 1 |
| (3)23841(3)2384 |
(104769-1)/3 - 2*102384 |
| Length 4875 |  Total = 1 |
| (7)24375(7)2437 |
7*(104875-1)/9 - 2*102437 |
| Length 4963 |  Total = 1 |
| (1)24815(1)2481 |
(104963-1)/9 + 4*102481 |
| Length 5133 |  Total = 1 |
| (3)25661(3)2566 |
(105133-1)/3 - 2*102566 |
| Length 5379 |  Total = 1 |
| (1)26895(1)2689 |
(105379-1)/9 + 4*102689 |
| Length 5749 |  Total = 1 |
| (9)28742(9)2874 |
(105749-1) - 7*102874 |
| Length 5835 |  Total = 1 |
| (9)29178(9)2917 |
(105835-1) - 102917 |
| Length 5867 |  Total = 1 |
| (1)29337(1)2933 |
(105867-1)/9 + 6*102933 |
| Length 6177 |  Total = 1 |
| (3)30881(3)3088 |
(106177-1)/3 - 2*103088 |
| Length 6331 |  Total = 1 |
| (1)31658(1)3165 |
(106331-1)/9 + 7*103165 |
| Length 6877 |  Total = 1 |
| (7)34384(7)3438 |
7*(106877-1)/9 - 3*103438 |
| Length 8209 |  Total = 1 |
| (7)41044(7)4104 |
7*(108209-1)/9 - 3*104104 |
| Length 8457 |  Total = 1 |
| (9)42285(9)4228 |
(108457-1) - 4*104228 |
| Length 10657 |  Total = 1 |
| (7)53288(7)5328 |
7*(1010657-1)/9 + 105328 |
| Length 11031 |  Total = 1 |
| (7)55159(7)5515 |
7*(1011031-1)/9 + 2*105515 |
| Length 11733 |  Total = 1 |
| (3)58661(3)5866 |
(1011733-1)/3 - 2*105866 |
| Length 11753 |  Total = 1 |
| (9)58762(9)5876 |
(1011753-1) - 7*105876 |
| Length 12319 |  Total = 1 |
| (7)61598(7)6159 |
7*(1012319-1)/9 + 106159 |
| Length 12397 |  Total = 1 |
| (1)61985(1)6198 |
(1012397-1)/9 + 4*106198 |
| Length 13517 |  Total = 1 |
| (3)67588(3)6758 |
(1013517-1)/3 + 5*106758 |
| Length 13537 |  Total = 1 |
| (9)67682(9)6768 |
(1013537-1) - 7*106768 |
| Length 15097 |  Total = 1 |
| (7)75482(7)7548 |
7*(1015097-1)/9 - 5*107548 |
| Length 15849 |  Total = 1 |
| (7)79245(7)7924 |
7*(1015849-1)/9 - 2*107924 |
| Length 16103 |  Total = 1 |
| (3)80511(3)8051 |
(1016103-1)/3 - 2*108051 |
| Length 16233 |  Total = 1 |
| (7)81169(7)8116 |
7*(1016233-1)/9 + 2*108116 |
| Length 17847 |  Total = 1 |
| (7)89232(7)8923 |
7*(1017847-1)/9 - 5*108923 |
| Length 18041 |  Total = 1 |
| (7)90204(7)9020 |
7*(1018041-1)/9 - 3*109020 |
| Length 18997 |  Total = 1 |
| (3)94981(3)9498 |
(1018997-1)/3 - 2*109498 |
| Length 19637 |  Total = 1 |
| (1)98183(1)9818 |
(1019637-1)/9 + 2*109818 |
| Length 19807 |  Total = 1 |
| (7)99035(7)9903 |
7*(1019807-1)/9 - 2*109903 |
| Length 20105 |  Total = 1 |
| (9)100525(9)10052 |
(1020105-1) - 4*1010052 |
| Length 23517 |  Total = 1 |
| (3)117587(3)11758 |
(1023517-1)/3 + 4*1011758 |
| Length 23705 |  Total = 1 |
| (7)118529(7)11852 |
7*(1023705-1)/9 + 2*1011852 |
| Length 23799 |  Total = 1 |
| (7)118995(7)11899 |
7*(1023799-1)/9 - 2*1011899 |
| Length 25271 |  Total = 1 |
| (3)126351(3)12635 |
(1025271-1)/3 - 2*1012635 |
| Length 26395 |  Total = 1 |
| (1)131975(1)13197 |
(1026395-1)/9 + 4*1013197 |
| Length 26619 |  Total = 1 |
| (1)133099(1)13309 |
(1026619-1)/9 + 8*1013309 |
| Length 27955 |  Total = 1 |
| (7)139774(7)13977 |
7*(1027955-1)/9 - 3*1013977 |
| Length 29315 |  Total = 1 |
| (7)146576(7)14657 |
7*(1029315-1)/9 - 1014657 |
| Length 30237 |  Total = 1 |
| (7)151186(7)15118 |
7*(1030237-1)/9 - 1015118 |
| Length 35729 |  Total = 1 |
| (9)178644(9)17864 |
(1035729-1) - 5*1017864 |
| Length 36155 |  Total = 1 |
| (9)180771(9)18077 |
(1036155-1) - 8*1018077 |
| Length 36315 |  Total = 1 |
| (7)181575(7)18157 |
7*(1036315-1)/9 - 2*1018157 |
| Length 37915 |  Total = 1 |
| (7)189575(7)18957 |
7*(1037915-1)/9 - 2*1018957 |
| Length 45305 |  Total = 1 |
| (9)226521(9)22652 |
(1045305-1) - 8*1022652 |
| Length 46069 |  Total = 1 |
| (9)230348(9)23034 |
(1046069-1) - 1023034 |
| Length 49025 |  Total = 1 |
| (3)245121(3)24512 |
(1049025-1)/3 - 2*1024512 |
| Length 50897 |  Total = 1 |
| (9)254484(9)25448 |
(1050897-1) - 5*1025448 |
| Length 95019 |  Total = 1 |
| (9)475098(9)47509 |
(1095019-1) - 1047509 |