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 A178339 Primes p such that the sum of decimal digits of p divides the product of decimal digits of p+1 and that product is nonzero. 1
 11, 13, 17, 211, 233, 277, 367, 431, 457, 523, 541, 547, 587, 727, 743, 761, 853, 857, 1153, 1223, 1373, 1447, 1483, 1531, 1571, 1627, 1663, 1733, 1861, 2141, 2213, 2251, 2273, 2293, 2347, 2383, 2411, 2437, 2473, 2521, 2617, 2657, 2741, 2833, 2851, 3221, 3371 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Nathaniel Johnston, Table of n, a(n) for n = 1..10000 EXAMPLE 2+3+3 = 8 divides 2*3*4 = 24, so 233 is a member. MAPLE A178339 := proc(n) option remember: local p, q: if(n=1)then return 11: fi: p:=procname(n-1): do p:=nextprime(p): q:=mul(d, d=convert(p+1, base, 10)): if(q>0 and q mod add(d, d=convert(p, base, 10)) = 0)then return p: fi: od: end: seq(A178339(n), n=1..47); # Nathaniel Johnston, May 27 2011 MATHEMATICA fQ[n_] := Block[{s = Plus @@ IntegerDigits@n, p = Times @@ IntegerDigits[n + 1]}, Mod[p, s] == 0 && p > 0]; Select[ Prime@ Range@ 250, fQ@# &]; Select[ Prime@ Range@ 500, fQ@# &] CROSSREFS Sequence in context: A098031 A179208 A098423 * A088561 A211457 A154523 Adjacent sequences:  A178336 A178337 A178338 * A178340 A178341 A178342 KEYWORD base,easy,nonn AUTHOR Giovanni Teofilatto, May 25 2010 EXTENSIONS Corrected and extended by Robert G. Wilson v, Jun 05 2010 Name corrected by Nathaniel Johnston, May 27 2011 STATUS approved

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Last modified December 5 10:45 EST 2019. Contains 329751 sequences. (Running on oeis4.)