A139521 - OEIS

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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 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,1`
	COMMENTS	`Good approximation up to 799 decimal digits`
	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 & Giorgio Balzarotti (paoloplava(AT)gmail.com), Apr 28 2008`

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Last modified February 14 00:21 EST 2012. Contains 205567 sequences.