A246853 Numbers n such that sigma(n+3) - sigma(n) = n + 3.

7, 6285, 4693485, 54028959, 75898473, 724416741, 2359059709, 4901493769, 321212249593, 511578306649, 534245763769, 6158645822473

Offset

1,1

Comments

Also numbers n such that A001065(n+3) = A000203(n). - Michel Marcus, Sep 06 2014

a(13) > 10^13. - Giovanni Resta, Jul 13 2015

Links

Table of n, a(n) for n=1..12.

Example

Number 7 is in sequence because sigma(7+3) - sigma(7) = 18 - 8 = 10 = 7 + 3.

Prog

(Magma) [n:n in[1..10^7] | SumOfDivisors(n+3)-SumOfDivisors(n) eq n+3]
(PARI)
for(n=1, 10^7, if(sigma(n+3)-sigma(n)==n+3, print1(n, ", "))) \\ Derek Orr, Sep 05 2014

Crossrefs

Cf. A000203, A067816, A246851, A246852, A246854, A246855.

Sequence in context: A203693 A125036 A098803 * A225067 A281358 A343145

Adjacent sequences: A246850 A246851 A246852 * A246854 A246855 A246856

Keyword

nonn,more

Author

Jaroslav Krizek, Sep 05 2014

Extensions

a(4)-a(8) from Hiroaki Yamanouchi, Sep 10 2014

a(9)-a(12) from Giovanni Resta, Jul 13 2015

Status

approved