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Numbers k such that the k initial decimal digits of e - 2 form a prime number.
2

%I #22 Jul 10 2017 22:59:56

%S 1,2,49,114,126,295,357,1090,6152

%N Numbers k such that the k initial decimal digits of e - 2 form a prime number.

%C a(10) > 300000 "or so" (according to S. Batalov, Jul 06 2017). - _Eric W. Weisstein_, Jun 10 2017

%H <a href="http://www.znz.freesurf.fr/pages/titanix.html">Titanix</a> [Broken link]

%e Since e - 2 = 0.71828182845904..., the first terms are:

%e k = 1 gives 7, which is prime.

%e k = 2 gives 71, which is prime.

%e k = 49 gives 7182818284590452353602874713526624977572470936999, which is prime.

%K nonn,base,more

%O 1,2

%A _G. L. Honaker, Jr._, Oct 04 2000

%E a(8) proved prime by _Andrey V. Kulsha_ using Titanix.

%E a(9) from _Serge Batalov_, Jun 21 2017