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A140955
Even integers that do not have at least two partitions into 2 distinct primes.
0
0, 2, 4, 6, 8, 10, 12, 14, 38
OFFSET
1,2
COMMENTS
If A056636(3) = 128 (as is conjectured), then 38 is the last term in the sequence. - Charles R Greathouse IV, Sep 07 2022
EXAMPLE
8 is a term because 3+5 is the only sum of primes = 8.
16 is not in the sequence because 16 = 3+13 and 5+11.
The only ways to express 10 as a sum of two unordered primes are 3+7 and 5+5. In one of the sums the primes are distinct. Thus, 10 is in this sequence. - Tanya Khovanova, Sep 07 2022
PROG
(PARI) is(n)=if(n%2, return(0)); my(t); forprime(p=3, n\2-1, if(isprime(n-p) && t++>1, return(0))); 1 \\ Charles R Greathouse IV, Sep 07 2022
CROSSREFS
KEYWORD
fini,full,nonn
AUTHOR
Gil Broussard, Jul 25 2008
EXTENSIONS
Offset changed to 1 by Alois P. Heinz, Sep 07 2022
STATUS
approved