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A254862 Least prime p such that p + nextprime(p) is a multiple of n. 3
2, 3, 5, 3, 2, 5, 19, 3, 7, 13, 97, 5, 23, 19, 13, 53, 31, 7, 73, 29, 19, 97, 67, 11, 47, 23, 79, 41, 347, 13, 89, 61, 97, 31, 103, 17, 109, 73, 37, 59, 199, 19, 83, 151, 43, 67, 281, 71, 439, 47, 101, 23, 631, 79, 163, 53, 227, 347, 233, 29, 607, 89, 313, 61, 193, 97, 131, 31, 67, 103, 421, 71 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

for k=1..10, a(1000*k) = 2999, 2999, 2999, 21997, 12497, 2999, 10499, 51991, 4493, 29989.

LINKS

Ivan Neretin, Table of n, a(n) for n = 1..10000

EXAMPLE

2+3=5=1*5, 3+5=8=2*4, 5+7=12=3*4, 3+5=8=4*1, 2+3=5=5*1, 5+7=12=6*2, 19+23=42=7*6, 3+5=8=8*1, 7+11=18=9*2, 13+17=30=10*3.

MATHEMATICA

  s={}; Do[p=2; q=3; While[Mod[p+q, n]>0, p=q; q=NextPrime[q]]; AppendTo[s, p], {n, 50}]; s

PROG

(PARI) s=[]; for(n=1, 50, p=2; q=3; while((p+q)%n>0, p=q; q=nextprime(q+1)); s=concat(s, p)); s

CROSSREFS

Cf. A254863.

Sequence in context: A123221 A197032 A321781 * A322235 A172984 A072751

Adjacent sequences:  A254859 A254860 A254861 * A254863 A254864 A254865

KEYWORD

nonn

AUTHOR

Zak Seidov, Feb 09 2015

STATUS

approved

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Last modified April 6 20:39 EDT 2020. Contains 333286 sequences. (Running on oeis4.)