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A163488 Primes p such that 5*p is a sum of 3 consecutive primes. 0
2, 3, 47, 79, 113, 197, 227, 257, 263, 317, 347, 383, 431, 443, 491, 499, 541, 557, 617, 757, 811, 887, 929, 977, 1021, 1087, 1093, 1129, 1231, 1237, 1433, 1511, 2111, 2129, 2213, 2347, 2543, 2551, 2609, 2657, 2671, 2803, 2837, 2999, 3011, 3049, 3119, 3187 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes of the form A034961(k)/5, associated with k=1, 2, 21, 31, 42, 66,... - R. J. Mathar, Aug 02 2009

LINKS

Table of n, a(n) for n=1..48.

EXAMPLE

p=2 is in the sequence because 2*5=10=2+3+5.

p=3 is in the sequence because 3*5=15=3+5+7.

MATHEMATICA

lst={}; Do[If[PrimeQ[p=(Prime[n]+Prime[n+1]+Prime[n+2])/5], AppendTo[lst, p]], {n, 7!}]; lst

cp3Q[n_]:=Module[{mid=Floor[PrimePi[(5n)/3]], tst}, tst=Total/@ Partition[ Prime[ Range[mid-10, mid+10]], 3, 1]; MemberQ[tst, 5n]]; Select[ Prime[ Range[ 500]], cp3Q]//Quiet (* Harvey P. Dale, Jan 02 2018 *)

CROSSREFS

Cf. A006562, A118134, A163487.

Sequence in context: A097929 A266512 A041501 * A215536 A173355 A118222

Adjacent sequences:  A163485 A163486 A163487 * A163489 A163490 A163491

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jul 28 2009

EXTENSIONS

Entries checked by R. J. Mathar, Aug 02 2009

STATUS

approved

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Last modified September 21 21:32 EDT 2021. Contains 347605 sequences. (Running on oeis4.)