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A046508 Primes with multiplicative persistence value 8. 3

%I #20 Mar 13 2022 13:37:11

%S 2678789,2687879,2687897,2688797,2688977,2689877,2697887,2768789,

%T 2768897,2769887,2778689,2786789,2787689,2788769,2798687,2798867,

%U 2868779,2868977,2876789,2876879,2878679,2878697,2878769,2879687

%N Primes with multiplicative persistence value 8.

%H Daniel Mondot, <a href="/A046508/b046508.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..9001 from Harvey P. Dale)

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/MultiplicativePersistence.html">Multiplicative Persistence</a>

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

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

%Y Intersection of A000040 and A046517.

%Y Cf. A046500.

%K nonn,base

%O 1,1

%A _Patrick De Geest_, Sep 15 1998

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Last modified August 11 09:44 EDT 2024. Contains 375059 sequences. (Running on oeis4.)