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A200918
Successive prime factors of (3^1006003 - 3)/1006003^2.
0
2, 2, 2, 3, 7, 13, 19, 37, 757, 111779, 670669, 6371347, 34204069, 166437443, 310854619, 385634101, 14188652209, 42594124681, 10825536799379161, 154680726732318637
OFFSET
1,1
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
CROSSREFS
Cf. A014127.
Sequence in context: A024682 A091228 A181056 * A134890 A101360 A270371
KEYWORD
nonn,fini,more
AUTHOR
Artur Jasinski, Nov 24 2011
EXTENSIONS
More terms from Sean A. Irvine, Sep 06 2012
a(19)-a(20) from Max Alekseyev, Feb 13 2020
STATUS
approved