

A326235


Numbers k such that N = (35k)^6 is a twin rank (A002822: 6N + 1 are twin primes).


6



52, 74, 137, 159, 238, 242, 304, 306, 456, 478, 547, 701, 756, 988, 1059, 1186, 1218, 1243, 1378, 1705, 1976, 2426, 2596, 2844, 2952, 3216, 3263, 3360, 3632, 3692, 3762, 4094, 4364, 4603, 4689, 4858, 5003, 5177, 5287, 5361, 5426, 5999, 6054, 6285, 6347, 6417, 6457, 6639, 6862, 7269, 7500
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OFFSET

1,1


COMMENTS

Dinculescu notes that if N = m^2 > 1 is a twin rank (i.e., in A002822), then m is a multiple of 5, and if N = m^3 > 1, then m is a multiple of 7, cf. A326231 and A326233. Thus, when N = m^6, then m is a multiple of 35, and here we list these m/35.


LINKS



FORMULA



PROG

(PARI) select( is(n)=!for(s=1, 2, ispseudoprime(6*(35*n)^6+(1)^s)return), [1..10^4])


CROSSREFS



KEYWORD

nonn


AUTHOR



EXTENSIONS

a(1..10^4) independently computed using Mathematica and PARI/GP, by A. D. and M. F. Hasler, Jun 19 2019


STATUS

approved



