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

1,1

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

Table of n, a(n) for n=1..30.

Prog

(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

Crossrefs

Cf. A054690, A054692.

Cf. A036061.

Sequence in context: A054690 A259486 A298034 * A139828 A247905 A048488

Adjacent sequences: A054688 A054689 A054690 * A054692 A054693 A054694

Keyword

nonn

Author

Jeff Burch, Apr 19 2000

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

Status

approved