A153077 Largest number m such that sigma(m) = A002110(n) where A002110(n) is the product of the first n primes.

5, 29, 116, 2309, 30029, 272264, 6715161, 154448901, 3696967556, 126321788241, 5984466237725, 304250263527209, 7475863618097156, 495878856926202725, 17521052944725830450, 1749278213298193453469, 65483587607609351045025

Offset: 2

Author

Donovan Johnson, Dec 19 2008

Keywords

• nonn

Examples

			a(9) = 154448901. Sigma(154448901) = A002110(9) = 223092870 = 2*3*5*7*11*13*17*19*23.
		

Links

• Ray Chandler, Max Alekseyev, Table of n, a(n) for n = 2..24
• Max A. Alekseyev, Computing the Inverses, their Power Sums, and Extrema for Euler's Totient and Other Multiplicative Functions. Journal of Integer Sequences, Vol. 19 (2016), Article 16.5.2

Crossrefs

Cf. A000203, A002110, A153076, A153078.

Formula

a(n) = A057637(A002110(n)). - Chandler

a(A057704(n)) = A002110(A057704(n)) - 1. - Ray Chandler

Extensions

Extended by Ray Chandler, Dec 28 2008

Terms a(22)-a(24) in b-file from Max Alekseyev, Jan 29 2012