prime twin pairs yielding others

[David W. Wilson]

Neil Fernandez wrote:
> 
> In message <000501c1df5e$f4394b80$e8d53841 at oemcomputer>, Rick Shepherd
> <R.Shepherd at prodigy.net> writes
> 
> [...]
> 
> >18894, 211049
> >21933, 248639
> >22332, 253679
> >34638, 410339
> >
> >i.e., prime(18894)=211049 is the least example of the smaller of a twin
> >prime pair yielding a twin prime pair yielding a third twin prime pair in
> >this manner.  All three of the smaller twins in this chain are = 29 (mod
> >30).
> >(Note that the third pair doesn't yield a fourth.).  I haven't yet examined
> >the full chains of the three larger examples.
> 
> Hi Rick,
> 
> I've now looked at all of the numbers that you and Don listed. The only
> one that belongs to a pair yielding a chain of length >3 is 253679. The
> chain for that pair is of length 4.
> 
> So the sequence in which a(n) is the smaller of the first twin pair to
> yield a twin pair chain of length n begins:
> 
> 3, 5, 211049, 253679
> 
> Neil
> --
> Neil Fernandez

3 5 211049 253679 41887255409