The Proth-Gilbreath Conjecture -display of the process for the 256 first prime numbers- [La conjecture de Proth-Gilbreath -visualisation du processus pour les 256 premiers nombres premiers-].




This picture displays the process for the 256 first prime numbers:

{2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,1051,1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,1489,1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597,1601,1607,1609,1613,1619

-top row of the picture- with the following colors regarding the number differences:



See some related pictures (including this one):





See some more related pictures:





[Plus d'informations à propos de la conjecture de Gilbreath -en français/in french-]
[More information about the Gilbreath Conjecture -in english/en anglais-]


Please note that this picture displays only 136 lines and not the expected 256. This is due to G(Pi(10^7))=135 and to go beyond 256, G(Pi(10^10))=329 would be necessary and it means too much computations...


(CMAP28 WWW site: this page was created on 11/05/2025 and last updated on 11/05/2025 17:49:38 -CET-)



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