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Position of the smallest n-digit prime in the decimal expansion of e.
0

%I #6 Aug 04 2013 12:44:35

%S 1,201,196,6226,151208,2778287,21544761,46847251,172814008,1976183900

%N Position of the smallest n-digit prime in the decimal expansion of e.

%C a(10) was found by Shigeru Kondo, using the program PiFast of Xavier Gourdon to calculate e.

%H X. Gourdon, <a href="http://numbers.computation.free.fr/Constants/PiProgram/pifast.html">PiFast</a>

%e n...Prime...................Location.....String around value

%e 1...2............................1.............2718281828459

%e 2...11.........................201.............1019011573834

%e 3...101........................196.............1952510190115

%e 4...1009......................6226..............424341009057

%e 5...10007...................151208.............4361910007991

%e 6...100003.................2778287.............8243510000312

%e 7...1000003...............21544761...........279031000003794

%e 8...10000019..............46847251...........299541000001984

%e 9...100000007............172814008.......2861310000000776457

%e 10..1000000007..........1976183900.......3649610000000077111

%Y Cf. A001113, A003617.

%K nonn,base

%O 1,2

%A Dominic C. Milioto (dmilioto(AT)sw.rr.com), Oct 22 2004 (who also used PiFast to calculate e).