A351597 Primes p such that the 6 consecutive primes starting with p are congruent to 11, 13, 17, 19, 23, 29 (modulo 30) in this order.

11, 1481, 27701, 165701, 317921, 326141, 397751, 558791, 585911, 661091, 716411, 739391, 959831, 1015361, 1022501, 1068701, 1156031, 1161401, 1246361, 1265861, 1461401, 1514321, 1917731, 1940711, 2183921, 2188871, 2296871, 2725781, 2896931, 3058871, 3075341

Offset: 1

Author

Zak Seidov, May 02 2022

Keywords

• nonn

Comments

All terms are congruent to 11 (modulo 30) by definition.

Examples

			The six consecutive primes starting with 1481: 1481, 1483, 1487, 1489, 1493, 1499 are congruent to 11, 13, 17, 19, 23, 29 (modulo 30) in this order.
		

Crossrefs

Subsequence of A132232.

Programs

Mathematica

Select[Partition[Prime[Range[222000]], 6, 1], Mod[#, 30] == {11, 13, 17, 19, 23, 29} &][[;; , 1]] (* Amiram Eldar, May 03 2022 *)