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A117839 Primes of the form floor(Pi^k + e^k). +0
1
2, 5, 17, 9255121991, 28870447577 (list; graph; listen)
OFFSET

1,1

COMMENT

See also A059792 Numbers n such that floor(pi^n) is prime = {1, 3, 4, 12, 73, 317, 2728, 6826, 7683, 7950, 14417, ...} and their corresponding primes A077547 = {3, 31, 97, 924269, ...}. See also A059303 Floor(e^n)+1 is prime = {1, 5, 7, 10, 105, ...} and their corresponding primes.

FORMULA

a(n) = {floor(pi^k + e^k) = p is prime, k an integer}. a(n) = A000040 INTERSECTION A061675.

CROSSREFS

Cf. A000040, A059303, A059792, A061675, A077547, A074496.

Sequence in context: A128000 A124374 A113617 this_sequence A080689 A026321 A048221

Adjacent sequences: A117836 A117837 A117838 this_sequence A117840 A117841 A117842

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), Apr 30 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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