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A048523 Primes for which only one iteration of 'Prime plus its digit sum equals a prime' is possible. 1
13, 19, 37, 53, 71, 73, 97, 103, 127, 163, 181, 233, 271, 307, 383, 389, 431, 433, 499, 509, 563, 587, 631, 701, 743, 787, 811, 857, 859, 947, 1009, 1049, 1061, 1087, 1153, 1171, 1223, 1283, 1423, 1483, 1489, 1553, 1597, 1601, 1607, 1733, 1801, 1861, 1867 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

EXAMPLE

prime 1999 -> 1999 + (1+9+9+9) = prime 2027 -> next iteration yields composite 2038.

MATHEMATICA

ppd1Q[n_]:=PrimeQ[Rest[NestList[#+Total[IntegerDigits[#]]&, n, 2]]] == {True, False}; Select[Prime[Range[300]], ppd1Q] (* From Harvey P. Dale, Nov 10 2011 *)

CROSSREFS

Cf. A047791, A048519.

Sequence in context: A089490 A057749 A040070 * A000922 A107188 A029478

Adjacent sequences:  A048520 A048521 A048522 * A048524 A048525 A048526

KEYWORD

nonn,base

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com), May 15 1999.

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Last modified February 17 09:41 EST 2012. Contains 206009 sequences.