A283392 Integers m of the form m = 3*p + 5*q = 5*r + 7*s where {p,q} and {r,s} are pairs of consecutive primes.

50, 146, 866, 2162, 4178, 8362, 14372, 17138, 19094, 22504, 25346, 26764, 27544, 35074, 42634, 45218, 54184, 59554, 63484, 69812, 70562, 90904, 107252, 111004, 121106, 121682, 125138, 126764, 127454, 131596, 132464

Offset

1,1

Links

Zak Seidov, Table of n, a(n) for n = 1..1000

Zak Seidov, Table of values of m, {p,q} and {r,s}.

Example

m = 50, {p,q} = {5,7}, {r,s} = {3,5}, 50 = 3*5 + 5*7 = 5*3 + 7*5.
m = 146 = 3*17 + 5*19 = 5*11 + 7*13,
m = 866 = 3*107 + 5*109 = 5*71 + 7*73.

Mathematica

s1=Prime[Range[2, 10000]]; s2=Prime[Range[3, 10001]];
s3=3*s1+5*s2; s5=5*s1+7*s2; Intersection[s3, s5]

Crossrefs

Sequence in context: A200881 A235942 A093300 * A261343 A104152 A044382

Adjacent sequences: A283389 A283390 A283391 * A283393 A283394 A283395

Keyword

nonn

Author

Zak Seidov, Mar 07 2017

Status

approved