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A306370 Primes p such that none of p+6, p+12, p+18, p+30 is prime. 1
2, 3, 463, 499, 521, 719, 773, 787, 883, 887, 1109, 1129, 1319, 1327, 1373, 1489, 1699, 1733, 1787, 1823, 1879, 1951, 2003, 2029, 2089, 2153, 2179, 2273, 2357, 2389, 2477, 2557, 2593, 2753, 2917, 3041, 3121, 3167, 3257, 3391, 3413, 3467, 3491, 3557, 3623, 3677, 3719, 3769, 3853, 3943, 3947, 3967 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Includes all primes == 463 (mod 7735).

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

Mathematics StackExchange, If P is prime then is P+6 prime

EXAMPLE

463 is in the sequence because it is prime but 463+6, 463+12, 463+18 and 463+30 are not.

MAPLE

select(p -> isprime(p) and not ormap(isprime, [p+6, p+12, p+18, p+30]),

[2, seq(p, p=3..10000, 2)]);

CROSSREFS

Sequence in context: A066849 A071219 A109855 * A128874 A196070 A173342

Adjacent sequences:  A306367 A306368 A306369 * A306371 A306372 A306373

KEYWORD

nonn

AUTHOR

Robert Israel, Feb 10 2019

STATUS

approved

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Last modified May 13 05:02 EDT 2021. Contains 343836 sequences. (Running on oeis4.)