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A348421
Primes p == 3 (mod 4) such that (p+3)/2 is not prime.
2
47, 67, 107, 127, 151, 167, 179, 227, 239, 263, 283, 307, 347, 367, 431, 439, 467, 487, 491, 503, 547, 571, 587, 599, 607, 643, 647, 683, 719, 727, 739, 751, 787, 811, 823, 827, 887, 907, 947, 967, 983, 991, 1019, 1031, 1051, 1063, 1087, 1103, 1163, 1187
OFFSET
1,1
COMMENTS
Complement of A092109 with respect to A002145.
LINKS
FORMULA
a(n) = 2*A348423(n) - 3.
EXAMPLE
47 is a term since it is a prime congruent to 3 modulo 4 and (47+3)/2 = 25 is composite.
MATHEMATICA
Select[4*Range[0, 300] + 3, PrimeQ[#] && ! PrimeQ[(# + 3)/2] &] (* Amiram Eldar, Oct 18 2021 *)
PROG
(PARI) isA348421(n) = isprime(n) && (n%4==3) && !isprime((n+3)/2)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Jianing Song, Oct 18 2021
STATUS
approved