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A139520
Denominators of an Egyptian fraction for Catalan constant, using only prime numbers and allowing repetitions.
2
2, 3, 13, 179, 8161, 17319373, 24288185721827, 115965508643355137277722177, 235520782452648150490328050427067627593114827790363, 34927738441197833781363566983541975805101681093066970452740268721673910282017002081858804680098723909
OFFSET
0,1
COMMENTS
Good approximation up to 789 decimal digits.
REFERENCES
Mohammad K. Azarian, Sylvester's Sequence and the Infinite Egyptian Fraction Decomposition of 1, Problem 958, College Mathematics Journal, Vol. 42, No. 4, September 2011, p. 330. Solution published in Vol. 43, No. 4, September 2012, pp. 340-342.
MAPLE
P:=proc(n) local a, i; a:=evalf(Catalan, 100); 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
KEYWORD
easy,nonn,frac
AUTHOR
STATUS
approved