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A007512 Primes of the form floor(e*10^k), i.e., formed by concatenation of an initial segment of the decimal expansion of e.
(Formerly M2184)
12
2, 271, 2718281, 2718281828459045235360287471352662497757247093699959574966967627724076630353547594571 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The number of digits in a(n) is given in A064118. This allows us to get larger terms that cannot be displayed here, via the given FORMULA. Sequences A005042, A072952, A115453, A119343, A210704, ... are the analogs for Pi, gamma, sqrt(2), sqrt(3), 3^(1/3), ... - M. F. Hasler, Aug 31 2013
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Eric Weisstein's World of Mathematics, e-Prime
FORMULA
a(n) = floor(e*10^(A064118(n)-1)). - M. F. Hasler, Aug 31 2013
MAPLE
Digits := 110; n0 := evalf(E); for i from 1 to 100 do t1 := trunc(10^i*n0); if isprime(t1) then print(t1); fi; od:
PROG
(PARI) c=exp(1); for(k=0, precision(c), ispseudoprime(c\.1^k) & print1(c\.1^k, ", ")) \\ M. F. Hasler, Sep 01 2013
CROSSREFS
Sequence in context: A278771 A318171 A324596 * A048534 A135696 A008775
KEYWORD
base,nonn
AUTHOR
EXTENSIONS
Next term is a 1781-digit BPSW-probable prime 2718281828459045235...211151368350627526023. - Randall L Rathbun, Feb 02 2002
Edited by T. D. Noe, Oct 30 2008
Edited by M. F. Hasler, Aug 31 2013
STATUS
approved

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Last modified April 21 14:03 EDT 2024. Contains 371870 sequences. (Running on oeis4.)