

A178041


Number of ways to represent the nth prime (which has a nonzero number of such representations) as the sum of 4 distinct primes.


1



1, 2, 3, 3, 5, 6, 6, 6, 8, 10, 13, 14, 13, 18, 21, 17, 21, 30, 21, 32, 23, 37, 27, 45, 35, 34, 54, 43, 60, 61, 67, 44, 52, 55, 79, 58, 89, 57, 92, 100, 111, 69, 119, 76, 83, 122, 91, 89, 94, 102, 147, 146, 106, 159, 116, 176, 125, 190, 119, 195, 202, 136, 230, 148, 154, 222
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..66.
Eric W. Weisstein, Goldbach Conjecture,


EXAMPLE

a(1) = 1 because 17 = 2+3+5+7 is the unique solution for the smallest such prime.
a(2) = 2 because 23 = 2+3+5+13 = 2+3+7+11 are the only two solutions for the 2nd smallest such prime.
a(3) = 3 because 29 = 2+3+5+19 = 2+3+7+17 = 2+3+11+13 are the only 3 solutions for the 3rd smallest such prime.
a(4) = 3 because 31 = 2+3+7+19 = 2+5+7+17 = 2+5+11+13 are the only 3 solutions for the 4th smallest such prime.
a(5) = 5 because 37 = 2+3+13+19 = 2+5+7+23 = 2+5+11+19 = 2+5+13+17 = 2+7+11+17 are the only 5 solutions for the 5th smallest such prime.


CROSSREFS

Cf. A000040, A038609 (sum of 2 distinct primes), A124867 (sum of 3 distinct primes), A124868 (not the sum of 3 distinct primes), A124884 (not the sum of n distinct primes).
Sequence in context: A295918 A296834 A242642 * A181805 A212010 A328745
Adjacent sequences: A178038 A178039 A178040 * A178042 A178043 A178044


KEYWORD

easy,nonn


AUTHOR

Jonathan Vos Post, May 17 2010


EXTENSIONS

Extended by Zak Seidov


STATUS

approved



