A282321 Lesser of twin primes congruent to 11 (mod 30).

11, 41, 71, 101, 191, 281, 311, 431, 461, 521, 641, 821, 881, 1031, 1061, 1091, 1151, 1301, 1451, 1481, 1721, 1871, 1931, 2081, 2111, 2141, 2381, 2591, 2711, 2801, 3251, 3371, 3461, 3581, 3671, 3821, 3851, 4001, 4091, 4241, 4271, 4421, 4481, 4721, 4931, 5021

Offset: 1

Author

Martin Renner, Feb 11 2017

Keywords

• nonn

Comments

The union of [this sequence and A282322] is A132241.

The union of [{3, 5}, this sequence, A282323 and A060229] is the lesser of twin primes sequence A001359.

The union of [{3, 5, 7}, A282321 to A282326] is the twin primes sequence A001097.

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..10000

Crossrefs

Subset of A001097, A001359, A132232, A132241 and A132247.

Cf. A006512, A232880, A232881, A232882, A282322, A282323, A060229, A060229, A282326.

Programs

Magma

[p: p in PrimesUpTo(5000) | IsPrime(p+2) and p mod 30 eq 11 ]; // Vincenzo Librandi, Feb 12 2017

Maple

a:={}:
for i from 1 to 1229 do
  if isprime(ithprime(i)+2) and ithprime(i) mod 30 = 11 then
    a:={op(a),ithprime(i)}:
  fi:
od:
a;

PARI

list(lim)=my(v=List(), p=2); forprime(q=3, lim+2, if(q-p==2 && q%30==13, listput(v, p)); p=q); Vec(v) \\ Charles R Greathouse IV, Feb 14 2017