A297893 Numbers that divide exactly three Euclid numbers.

3041, 24917, 144671, 224251, 278191, 301927, 726071, 729173, 772691, 1612007, 1822021, 1954343, 2001409, 2157209, 2451919, 2465917, 2522357, 2668231, 3684011, 3779527, 3965447, 4488299, 4683271, 4869083, 5244427, 5650219, 6002519, 6324191, 6499721, 7252669

Offset

1,1

Comments

A113165 lists numbers those numbers (> 1) that divide at least one Euclid number; A297891 lists those that divide exactly two Euclid numbers.

Is this sequence infinite?

Does this sequence contain any nonprimes?

Are there any numbers > 1 that divide more than three Euclid numbers?

The first numbers that divide 4 and 5 Euclid numbers are 15415223 and 2464853, respectively. - Giovanni Resta, Jun 26 2018

Links

Giovanni Resta, Table of n, a(n) for n = 1..50

Example

a(1) = 3041 because 3041 is the smallest number that divides exactly three Euclid numbers: 1 + A002110(206), 1 + A002110(263), and 1 + A002110(409); these numbers have 532, 712, and 1201 digits, respectively.

Crossrefs

Cf. A002110 (primorials), A006862 (Euclid numbers), A113165 (numbers > 1 that divide Euclid numbers), A297891 (numbers > 1 that divide exactly two Euclid numbers).

Sequence in context: A235427 A326416 A236297 * A035776 A108000 A232575

Adjacent sequences: A297890 A297891 A297892 * A297894 A297895 A297896

Keyword

nonn

Author

Jon E. Schoenfield, Jan 07 2018

Extensions

a(14)-a(30) from Giovanni Resta, Jun 26 2018

Status

approved