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A120712 Numbers n with property that the concatenation of the proper divisors of n (i.e. excluding 1 and n) is a prime. +0
6
4, 6, 9, 21, 22, 25, 33, 39, 46, 49, 51, 54, 58, 78, 82, 93, 99, 111, 115, 121, 133, 141, 142, 147, 153, 154, 159, 162, 166, 169, 174, 177, 186, 187, 189, 201, 205, 219, 226, 235, 237, 247, 249, 253, 262, 267, 274, 286, 289, 291, 294, 301, 318 (list; graph; listen)
OFFSET

1,1

EXAMPLE

n -> divisors -> prime

----------------

4 -> 1,2,4 -> 2

6 -> 1,2,3,6 -> 23

9 -> 1,3,9 -> 3

21 -> 1,3,7,21 -> 37

22 -> 1,2,11,22 -> 211

25 -> 1,5,25 -> 5

33 -> 1,3,11,33 -> 311

39 -> 1,3,13,39 -> 313

MAPLE

Maple program from Simon Plouffe: with(numtheory):

for k from 2 to 1000 do:

v0:=divisors(k):

nn:=nops(v0):

if nn > 2 then

v1:=[seq(v0[j], j=2..nn-1)]:

v2:=cat(seq(convert(v1[n], string), n=1..nops(v1))):

v3:=parse(v2):

if isprime(v3) = true then lprint(k, v3) fi:

fi:

od:

CROSSREFS

Cf. A120716, A120713, A037274, A037278, A106708, A106736.

Cf. A130139-A130142.

Adjacent sequences: A120709 A120710 A120711 this_sequence A120713 A120714 A120715

Sequence in context: A036667 A056016 A098485 this_sequence A115698 A039566 A032817

KEYWORD

nonn,base

AUTHOR

Eric Angelini (Eric.Angelini(AT)kntv.be), Jul 19 2007

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Last modified May 13 01:46 EDT 2008. Contains 139661 sequences.


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