A084146 Integers that have exactly one representation as a sum of two or more consecutive primes.

5, 8, 10, 12, 15, 17, 18, 23, 24, 26, 28, 30, 31, 39, 42, 48, 49, 52, 53, 56, 58, 59, 67, 68, 71, 75, 77, 78, 84, 88, 95, 97, 98, 101, 102, 109, 121, 124, 127, 128, 129, 131, 132, 139, 144, 150, 155, 156, 158, 159, 160, 161, 162, 168, 169, 172, 173, 181, 184, 186, 192

Offset: 1

Author

Eric W. Weisstein, May 15 2003

Keywords

• nonn

Comments

More fundamental than A050936, which gives integers having 1 *or more* such representations

Links

• T. D. Noe, Table of n, a(n) for n=1..10000
• Eric Weisstein's World of Mathematics, Prime Sums

Crossrefs

Cf. A050936, A084143, A337095 (subset of primes).

Programs

Maple

# uses code of A084143
isA084146 := proc(n::integer)
    if A084143(n) = 1 then
        true;
    else
        false;
    end if;
end proc:
for n from 1 to 300 do
    if isA084146(n) then
        printf("%d,",n) ;
    end if;
end do: # R. J. Mathar, Aug 19 2020

Formula

A084143(a(n)) = 1. - Ray Chandler, Sep 20 2023

Extensions

More terms from Matthew Conroy, May 25 2003