A298687 Numbers i such that Fibonacci(i) is divisible by i+k for k=0..5.

13440, 19440, 329400, 600600, 2499840, 3150840, 5590200, 7660800, 69069000, 83980800, 96049800, 98385840, 175472640, 179663400, 237484800, 320498640, 330663600, 375396840, 404351640, 406380240, 429660000, 437940000, 505234800, 574585200, 635980800

Offset: 1

Author

Alex Ratushnyak, Jan 24 2018

Keywords

• nonn

Comments

A subsequence of A298686.

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..57

Crossrefs

Cf. A000045, A023172, A217738, A221018, A225219, A298684, A298685, A298686.

Programs

Python

p0 = 0
p1 = 1
for i in range(1,1000000):
  if p1 % i == 0 and p1 % (i+1) == 0 and p1 % (i+2) == 0:
     if p1 % (i+3) == 0 and p1 % (i+4) == 0 and p1 % (i+5) == 0:  print(i)
  p0, p1 = p1, p0+p1

Extensions

a(9)-a(25) from Chai Wah Wu, Jan 27 2018