login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A087594 Define dd(n) = the number formed by concatenating the absolute difference of successive digits. Sequence contains primes p such that dd(p)=q is a prime, dd(q) is also a prime = r and so on until a single-digit prime (2,3,5,7) arises. (Primes in which the number formed by successive digit differences are primes at every step until a single-digit prime is obtained.). 4
13, 29, 31, 41, 47, 53, 61, 79, 83, 97, 103, 113, 163, 227, 229, 331, 347, 367, 401, 449, 487, 503, 521, 523, 541, 547, 557, 563, 569, 587, 601, 661, 709, 743, 769, 821, 823, 881, 883, 907, 941, 947, 967, 997, 1063, 1069, 1103, 1163, 1481, 1609, 1621, 1663 (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.

347 is a member as dd(347) = 13, dd(13) = 2.

MATHEMATICA

adsd[n_]:=FromDigits[Abs/@Differences[IntegerDigits[n]]]; Select[Prime[ Range[ 300]], And@@PrimeQ[NestWhileList[adsd, adsd[#], IntegerLength[#]>1&]]&] (* Harvey P. Dale, Mar 16 2013 *)

CROSSREFS

Cf. A087593, A087595.

Sequence in context: A293661 A087593 A158075 * A320868 A347816 A319167

Adjacent sequences:  A087591 A087592 A087593 * A087595 A087596 A087597

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy, Sep 18 2003

EXTENSIONS

More terms from David Wasserman, Jun 15 2005

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 4 11:02 EDT 2022. Contains 355075 sequences. (Running on oeis4.)