A341116 Prime factors of 10^(10^100) + 1.

316912650057057350374175801344000001, 155409907106060194289411023528840396801, 1467607904432329964944690923937202176001, 11438565962996913740067907829760000000001, 495176015714152109959649689600000000000001, 7399415202816574979127045311692800000000001, 9823157208340761024963422324575436800000001

Offset: 1

Author

Yan Sheng Ang, Feb 05 2021

Keywords

• nonn
• fini
• hard

Comments

Every term of this sequence is == 1 (mod 2^101); see A341115 for more properties.

Links

• D. A. Alpern, Factors of 1000 numbers starting from googolplex

Crossrefs

Cf. A072288, A341115.

Formula

a(n) = 1 + A341115(n)*2^101. - Jinyuan Wang, Feb 09 2021