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A173665 Primes formed by the initial digits of the decimal expansion of 1/Catalan's constant. 0
109, 1091, 109174406370390610145415947333, 10917440637039061014541594733338923249860501214082473450059137 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes found in 1/ A006752.

  a(5) = 109174406...792972361 has 109 digits,

  a(6) = 109174406...955798301 has 271 digits,

  a(7) = 109174406...813410233 has 319 digits,

  a(8) = 109174406...519744361 has 1223 digits.

LINKS

Table of n, a(n) for n=1..4.

EXAMPLE

1/Catalan's constant = 1.09174406..., so a(1) = 109 ; a(2) = 1091.

MAPLE

Digits := 100; n0 := evalf(1/Catalan); for i from 1 to 100 do x := trunc(10^i*n0):

  if isprime(x) then printf(`%d, `, x): fi: od:

PROG

(PARI) default(realprecision, 350); C=intnum(t=0, 1, atan(t)/t); for(k=1, default(realprecision), ispseudoprime(10^k\C) & print(10^k\C, " \\ digits: ", k+1)) \\ [M. F. Hasler, Nov 24]

CROSSREFS

Cf. A006752, A014538.

Sequence in context: A061699 A239720 A096214 * A059936 A232118 A201849

Adjacent sequences:  A173662 A173663 A173664 * A173666 A173667 A173668

KEYWORD

nonn,base

AUTHOR

Michel Lagneau, Nov 24 2010

STATUS

approved

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Last modified July 29 06:36 EDT 2014. Contains 245019 sequences.