

A054701


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


1



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
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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 (CPAP4) 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



