A302333 Wagstaff primes related to The New Mersenne Conjecture that are the indices of perfect numbers in a list of centered 9-gonal numbers.

3, 11, 43, 2731, 43691, 174763, 715827883, 768614336404564651, 56713727820156410577229101238628035243

Offset: 1

Author

Steve Homewood, Apr 05 2018

Keywords

• nonn
• more

Comments

Let p be a Wagstaff prime related to The New Mersenne Conjecture. Then (3p-2)(3p-1)/2 gives the perfect number whose index it is.

Examples

			For p = 3, (3*3-2)*(3*3-1)/2 = 28 and for p = 11, (3*11-2)(3*11-1)/2 = 496.
		

Links

• Caldwell and Honaker, 56713...35243 (38-digits), Prime Curios!
• Eric Weisstein's World of Mathematics, New Mersenne Prime Conjecture

Crossrefs

Cf. A000979, A107360.