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A161725 Primes p such that also p+30 and p-30 are primes. 1
37, 41, 43, 53, 59, 67, 71, 73, 83, 97, 101, 109, 127, 137, 167, 181, 193, 197, 211, 227, 241, 263, 281, 307, 337, 367, 379, 389, 409, 419, 431, 449, 461, 479, 491, 571, 577, 587, 601, 617, 631, 643, 647, 661, 739, 757, 827, 853, 857, 907, 911, 937, 941, 967 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Solutions of the equation (p-30)' + p' + (p+30)' = 3, where p' is the arithmetic derivative of p. [Paolo P. Lava, Nov 08 2012]

LINKS

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

EXAMPLE

The prime p=37 is in the sequence because 37-30=7 and 37+30=67 are also primes.

MATHEMATICA

q=6*5; lst={}; Do[p=Prime[n]; If[PrimeQ[p-q] && PrimeQ[p+q], AppendTo[lst, p]], {n, 5000}]; lst

CROSSREFS

Cf. A006489, A137796, A161723, A161724, A052243.

Sequence in context: A069963 A071855 A137675 * A100722 A093690 A288618

Adjacent sequences:  A161722 A161723 A161724 * A161726 A161727 A161728

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jun 17 2009

EXTENSIONS

Definition edited by Emeric Deutsch, Jun 28 2009

STATUS

approved

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Last modified August 13 22:34 EDT 2020. Contains 336465 sequences. (Running on oeis4.)