A246855 Numbers n such that sigma(n+5) - sigma(n) = n + 5.

3577, 14773, 2843579

Offset

1,1

Comments

Also numbers n such that A001065(n+5) = A000203(n). - Michel Marcus, Sep 06 2014

a(4) (if it exists) > 10^11. - Hiroaki Yamanouchi, Sep 10 2014

a(4) (if it exists) > 10^13. - Giovanni Resta, Jul 13 2015

Links

Table of n, a(n) for n=1..3.

Example

Number 3577 is in sequence because sigma(3577+5) - sigma(3577) = 7800 - 4218 = 3582 = 3577 + 5.

Prog

(Magma) [n:n in[1..10^7] | SumOfDivisors(n+5)-SumOfDivisors(n) eq n+5]
(PARI)
for(n=1, 10^7, if(sigma(n+5)-sigma(n)==n+5, print1(n, ", "))) \\ Derek Orr, Sep 05 2014

Crossrefs

Cf. A000203, A067816, A246851, A246852, A246853, A246854.

Sequence in context: A004932 A004952 A004972 * A252153 A234138 A249289

Adjacent sequences: A246852 A246853 A246854 * A246856 A246857 A246858

Keyword

nonn,bref,more

Author

Jaroslav Krizek, Sep 05 2014

Status

approved