

A134650


Numbers n such that n is the sum of two consecutive primes (i.e., in A001043) but is not the sum of two sums of two consecutive primes.


2




OFFSET

1,1


COMMENTS

Conjectured to be finite, may be complete.
a(8), if it exists, is greater than 20100000.  R. J. Mathar, Jan 26 2008


REFERENCES

R. K. Guy, ed., Unsolved Problems, Western Number Theory Meeting, Las Vegas, 1988.


LINKS



MAPLE

with(numtheory): Sset := {}: for i to 15000 do Sset := `union`(Sset, {ithprime(i) + ithprime(i + 1)}) od: Sset := convert(Sset, list): for n from 1 to nops(Sset) do count := 0: s := Sset[n]: for i from 1 to n do if member(s  Sset[i], Sset) and sSset[i] >= s/2 then count := count + 1 fi; od: if count = 0 then printf(`%d, `, Sset[n]) fi; od: # James A. Sellers, Jan 28 2008


CROSSREFS



KEYWORD

nonn,more


AUTHOR



EXTENSIONS



STATUS

approved



