|
|
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.
|
|
3
|
|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
All terms are congruent to 11 (modulo 30) by definition.
|
|
LINKS
|
|
|
EXAMPLE
|
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.
|
|
MATHEMATICA
|
Select[Partition[Prime[Range[222000]], 6, 1], Mod[#, 30] == {11, 13, 17, 19, 23, 29} &][[;; , 1]] (* Amiram Eldar, May 03 2022 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|