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A046508 Primes with multiplicative persistence value 8. 3
2678789, 2687879, 2687897, 2688797, 2688977, 2689877, 2697887, 2768789, 2768897, 2769887, 2778689, 2786789, 2787689, 2788769, 2798687, 2798867, 2868779, 2868977, 2876789, 2876879, 2878679, 2878697, 2878769, 2879687 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Daniel Mondot, Table of n, a(n) for n = 1..10000 (terms 1..9001 from Harvey P. Dale)

Eric Weisstein's World of Mathematics, Multiplicative Persistence

EXAMPLE

2678789 -> [ 338688 ][ 27648 ][ 2688 ][ 768 ][ 336 ][ 54 ][ 20 ][ 0 ] -> one digit in eight steps.

MATHEMATICA

mp8Q[n_]:=Length[NestWhileList[Times@@IntegerDigits[#]&, n, #>9&]]==9; Select[ Prime[ Range[210000]], mp8Q] (* Harvey P. Dale, Mar 30 2019 *)

CROSSREFS

Intersection of A000040 and A046517.

Cf. A046500.

Sequence in context: A121108 A046517 A199998 * A251457 A178291 A212231

Adjacent sequences:  A046505 A046506 A046507 * A046509 A046510 A046511

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Sep 15 1998

STATUS

approved

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Last modified August 16 18:56 EDT 2022. Contains 356169 sequences. (Running on oeis4.)