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

1,1

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

Formula

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

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

Crossrefs

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

Sequence in context: A065528 A360398 A050936 * A314380 A332513 A314381

Adjacent sequences: A084143 A084144 A084145 * A084147 A084148 A084149

Keyword

nonn

Author

Eric W. Weisstein, May 15 2003

Extensions

More terms from Matthew Conroy, May 25 2003

Status

approved