A139521 Denominators of an Egyptian Fraction for sqrt(2), using only prime numbers and allowing repetitions.

2, 2, 3, 13, 257, 15131, 83002267, 1696274711037607, 62384117997457733544603820483, 36029882103194027595685829384642730184657157184554323517

Offset

0,1

Comments

Good approximation up to 799 decimal digits

Links

Table of n, a(n) for n=0..9.

Maple

P:=proc(n) local a, i; a:=evalf((sqrt(2))-1, 100); print(2); print(2); for i from 1 by 1 to n do if 1/ithprime(i)<a then a:=a-1/ithprime(i); print(a); print(ithprime(i)); fi; od; end: P(100000);

Crossrefs

Cf. A139514-A139520, A139522, A139523.

Sequence in context: A184843 A100362 A062439 * A019515 A094352 A073828

Adjacent sequences: A139518 A139519 A139520 * A139522 A139523 A139524

Keyword

easy,nonn,frac

Author

Paolo P. Lava and Giorgio Balzarotti, Apr 28 2008

Status

approved