A054701 Smallest prime followed by three gaps that are multiples of 2n.

3, 199, 251, 20809, 18839, 12829, 158867, 156733, 74453, 83477, 1736281, 1397609, 17702303, 10531373, 642427, 58880711, 120520087, 5321191, 304115129, 31824769, 5412049, 125954987, 188966023, 55410683, 162282233, 958613011, 400948369, 373978313, 3298545589, 253444777

Offset

1,1

Comments

Equivalently, smallest prime such that the next three primes are at distances divisible by 2n. The gaps are generally not the same, so these are not starting points of four consecutive primes in arithmetic progression (CPAP-4) as listed in A054800. - M. F. Hasler, Nov 06 2018

Links

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

OEIS index entries related to gaps between primes.

Example

a(1) = 3 is the smallest prime such that the next three gaps (2, 2 and 4; involving primes 5, 7 and 11) are multiples of 2*1 = 2.
a(1) = 199 is the smallest prime such that the next three gaps (12, 12 and 4; to primes 211, 223, and 227) are multiples of 2*2 = 4.

Crossrefs

Cf. A001223 (prime gaps).

Sequence in context: A157565 A157598 A023310 * A356178 A342578 A264674

Adjacent sequences: A054698 A054699 A054700 * A054702 A054703 A054704

Keyword

nonn

Author

Jeff Burch, Apr 20 2000

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Nov 09 2000

Corrected and extended by Donovan Johnson, Feb 26 2008

Edited by M. F. Hasler, Nov 06 2018

Status

approved