

A105093


Numbers n such that n = prime(k) + prime(k+3) = prime(k+1) + prime(k+2) for some k.


1



18, 24, 30, 36, 60, 84, 120, 162, 204, 210, 216, 240, 288, 330, 372, 390, 456, 520, 540, 624, 726, 762, 798, 840, 852, 882, 924, 978, 990, 1104, 1140, 1164, 1200, 1392, 1410, 1428, 1530, 1632, 1650, 1716, 1740, 1764, 1794, 1848, 1974, 2052, 2100, 2112, 2184
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..49.
Eric Weisstein's World of Mathematics, Goldbach Conjecture


EXAMPLE

a(1)=18 because prime(3)+prime(6)=prime(4)+prime(5)=5+13=7+11=18.


MATHEMATICA

lst = {}; Do[ If[ Prime[n] + Prime[n + 3] == Prime[n + 1] + Prime[n + 2], AppendTo[lst, Prime[n] + Prime[n + 3]]], {n, 184}]; lst (* Robert G. Wilson v, Apr 07 2005 *)


CROSSREFS

Cf. A001172, A000954, first primes in A022885.
Sequence in context: A160810 A076771 A179014 * A162331 A092536 A214620
Adjacent sequences: A105090 A105091 A105092 * A105094 A105095 A105096


KEYWORD

nonn


AUTHOR

Giovanni Teofilatto, Apr 06 2005


EXTENSIONS

Edited and extended by Robert G. Wilson v, Apr 07 2005


STATUS

approved



