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A297893 Numbers that divide exactly three Euclid numbers. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 27 21:22 EDT 2020. Contains 338036 sequences. (Running on oeis4.)