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A046504 Primes with multiplicative persistence value 4. 3
277, 379, 397, 467, 557, 647, 677, 727, 739, 773, 787, 877, 887, 937, 1277, 1483, 1489, 1553, 1699, 1747, 1777, 1783, 1787, 1867, 1873, 1877, 1973, 1999, 2267, 2347, 2377, 2399, 2437, 2467, 2473, 2477, 2647, 2683, 2687, 2689, 2699, 2797, 2837, 2861 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

Eric Weisstein's World of Mathematics, Multiplicative Persistence

EXAMPLE

277 -> [ 98 ][ 72 ][ 14 ][ 4 ] -> one digit in four steps.

MATHEMATICA

pmp4Q[n_]:=Length[NestWhileList[Times@@IntegerDigits[#]&, n, #>9&]]==5; Select[Prime[Range[500]], pmp4Q] (* Harvey P. Dale, Oct 10 2016 *)

CROSSREFS

Intersection of A000040 and A046513.

Cf. A046500.

Sequence in context: A108255 A152715 A139654 * A142542 A142127 A142831

Adjacent sequences:  A046501 A046502 A046503 * A046505 A046506 A046507

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Sep 15 1998

STATUS

approved

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Last modified October 1 14:19 EDT 2022. Contains 357149 sequences. (Running on oeis4.)