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Old 2015-01-02, 07:59   #1
paulunderwood's Avatar
Sep 2002
Database er0rr

104338 Posts
Default Future directions

When I started this little project, I hadn't expected the Batalov Effect. We are grateful to Serge for his huge crunching efforts and he has been rewarded with finding those 4 primes for base 10 and expoenent 388080. It is a pity about the dearth for exponent 471240.

The use of generic modular reduction for such large exponents and bigger ones is a big disadvantage to the project. However I have a few ideas about what to do next:

(A) Shelve the project.

(B) Do another sub-million exponent for base 10 -- will require a few weeks of Ksieve.

(C) Do a mega exponent for base 10 using the magic formula which leaves a lot in the sieve -- will require quite a while with Ksieve.

(D) Do base 10 with exponent 1000000.

(E) Do a base 2 search using the magic formula -- can be engineered to leave a lot in the sieve; has a bigger domain to search, with more primes per exponent. Fast at sub-semi-mega bigger-than-PG-twin-search.

(F) Choose another base such as 3 or 2015 etc.

(G) Go for a world record prime -- fanciful.

(H) Search for NeRDs which use only special modular reduction.

My favourites are (A) or (E).

Last fiddled with by paulunderwood on 2015-01-02 at 08:02
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