A088120 Smallest prime obtained as a product of n terms of an arithmetic progression + the common difference.

2, 3, 7, 107, 947, 20161, 604801, 6652801, 726485761, 39916801, 39916801, 316234143227, 14820309504001, 10461394944001, 641171050071552001, 425757851430912001, 9366672731480064001, 8515157028618240001

Offset

1,1

Comments

Conjectures: (1) Sequence is infinite. (2) The common difference arising = 1 except for n = 4 and 5 in which case it is 2.

Links

Table of n, a(n) for n=1..18.

Example

a(4) = 1*3*5*7 + 2 = 107. a(5) = 1*3*5*7*9 + 2,
a(6) = 5*6*7*8*9*10 + 1 = 151201.

Crossrefs

Cf. A088121.

Sequence in context: A308917 A058443 A163152 * A230778 A111870 A182514

Adjacent sequences: A088117 A088118 A088119 * A088121 A088122 A088123

Keyword

easy,nonn

Author

Amarnath Murthy, Sep 25 2003

Extensions

More terms from David Wasserman, Jul 25 2005

Status

approved