[numerology] yet more primes

[Don Reble]

Others have sought prime lists, wherein one must always add the offset.
(So there's no difference between population and depth.) There are two
kinds of particular interest.

1) Cunningham chains:
The multiplier is two, and the offset is either +1 or -1.
So far, they've found:
    2n-1, starting at 69257563144280941; length is 15 (see A005603, A064812)
    2n+1, starting at 95405042230542329; length is 14 (see A005602)
When converted to trees (offset +-1), those starting points yield no new
primes; but they're still deeper than (50n+-27, from 1879).

2) Arithmetic sequences of primes
Here the multiplier is one. A record-holder is
    1n+4609098694200, starting at 11410337850553; length is 22
    (see http://mathworld.wolfram.com/PrimeArithmeticProgression.html )
But it's silly to make a tree with a multiplier of one.

--
Don Reble       djr at nk.ca