A054691 New records in A054690 (start of n consecutive non-twin primes).

7, 19, 43, 73, 349, 661, 8629, 13399, 14629, 24421, 62299, 187909, 688453, 850351, 17382481, 30752233, 32822371, 136283431, 248641039, 255949951, 390817729, 698542489, 1256735191, 1535220499, 1899797989, 2466641071, 4289385523, 24215097499, 42441715489, 43725662623

Offset: 1

Author

Jeff Burch, Apr 19 2000

Keywords

• nonn

Comments

Has many terms in common with A036061, but neither of the two is a subsequence of the other one. - M. F. Hasler, May 07 2022

Links

• Amiram Eldar, Table of n, a(n) for n = 1..41

Crossrefs

Cf. A054690, A054692, A242459.

Cf. A036061.

Programs

Python

from sympy import nextprime
from itertools import count, islice
def agen(): # generator of terms
    p, q, n, rl, argp = 2, 3, 1, 0, 2
    for k in count(1):
        if q - p >= 4: rl += 1
        else:
            if rl >= n: yield argp; n = rl + 1
            rl, argp = 0, q
        p, q = q, nextprime(q)
print(list(islice(agen(), 14))) # Michael S. Branicky, Aug 23 2022

Extensions

a(10)-a(25) from Sean A. Irvine, Feb 17 2022

Offset changed and a(26)-a(29) from Michael S. Branicky, Aug 23 2022