A200918 Successive prime factors of (3^1006003 - 3)/1006003^2.

2, 2, 2, 3, 7, 13, 19, 37, 757, 111779, 670669, 6371347, 34204069, 166437443, 310854619, 385634101, 14188652209, 42594124681, 10825536799379161, 154680726732318637

Offset: 1

Author

Artur Jasinski, Nov 24 2011

Keywords

• nonn
• fini
• more

Comments

1006003 = A014127(2).

2 is the only prime that occurs to a power greater than 1.

Conjecture (*Artur Jasinski*): If another infinite sequences with good Hall's examples occurred, it would have to contain primes from this sequence as constant divisors of the whole sequence, because parts of Danilov's infinite sequence (A200216, A200217, A200218) contain divisors of (3^A014127(1) - 3)/(A014127(1)^2).

a(21) > 10^18. - Max Alekseyev, Feb 26 2020

Links

• FactorDB, Factorization of 3^1006002 - 1.

Crossrefs

Cf. A014127.

Extensions

More terms from Sean A. Irvine, Sep 06 2012

a(19)-a(20) from Max Alekseyev, Feb 13 2020