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A087593 Define dd(n) = the number formed by concatenating the absolute difference of successive digits. Sequence contains primes p such that dd(p) is also prime. (Primes in which the number formed by successive digit difference is also a prime.). 8
13, 29, 31, 41, 47, 53, 61, 79, 83, 97, 101, 103, 107, 109, 113, 163, 227, 229, 241, 263, 269, 281, 307, 331, 347, 367, 401, 449, 463, 487, 503, 509, 521, 523, 541, 547, 557, 563, 569, 587, 601, 607, 641, 647, 661, 701, 709, 743, 769, 787, 809, 821, 823, 829 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Conjecture: Sequence is infinite. Subsidiary sequence: number of n-digit members.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

EXAMPLE

29 is a member as absolute(2-9) = 7 is a prime.

101 is a member as 1~0= 1, 0~1 = 1 and dd(101) = 11 is a prime.

MATHEMATICA

Select[Prime[Range[200]], PrimeQ[FromDigits[Abs[Differences[ IntegerDigits[ #]]]]]&] (* Harvey P. Dale, Oct 10 2014 *)

CROSSREFS

Cf. A087594, A087595.

Sequence in context: A018955 A240819 A293661 * A158075 A087594 A320868

Adjacent sequences:  A087590 A087591 A087592 * A087594 A087595 A087596

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy, Sep 18 2003

EXTENSIONS

More terms from David Wasserman, Jun 15 2005

STATUS

approved

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Last modified May 25 22:51 EDT 2022. Contains 354073 sequences. (Running on oeis4.)