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

Author

Jeff Burch, Apr 20 2000

Keywords

• nonn

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

Examples

			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.
		

Links

• OEIS index entries related to gaps between primes.

Crossrefs

Cf. A001223 (prime gaps).

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