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a(n) = number of 5-digit primes with digit sum n, where n runs through the non-multiples of 3 in the range [2..44].
4

%I #11 Mar 30 2012 16:51:57

%S 0,4,12,28,45,95,143,236,272,411,479,630,664,742,757,741,706,580,528,

%T 379,341,205,166,84,62,34,13,4,2

%N a(n) = number of 5-digit primes with digit sum n, where n runs through the non-multiples of 3 in the range [2..44].

%H BigPrimes.net, <a href="//http://www.bigprimes.net/sum-of-digits/">Digit sums of primes</a>

%e Digit-sums of 5-digit primes

%e Sum count

%e 2 0

%e 4 4

%e 5 12

%e 7 28

%e 8 45

%e 10 95

%e 11 143

%e 13 236

%e 14 272

%e 16 411

%e 17 479

%e 19 630

%e 20 664

%e 22 742

%e 23 757

%e 25 741

%e 26 706

%e 28 580

%e 29 528

%e 31 379

%e 32 341

%e 34 205

%e 35 166

%e 37 84

%e 38 62

%e 40 34

%e 41 13

%e 43 4

%e 44 2

%K nonn,base,fini,full

%O 1,2

%A _N. J. A. Sloane_, Dec 28 2010