A102237 Smallest number equal to the product of n primes which is also equal to the sum of n distinct primes.

2, 9, 12, 36, 48, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824, 2147483648

Offset

1,1

Comments

Conjecture: a(n) = 2^n for n>5. - Ray Chandler Feb 25 2005

Links

Table of n, a(n) for n=1..31.

Example

a(1) = 2;
a(2) = 9 = 3*3 = 2+7;
a(3) = 12 = 2*2*3 = 2+3+7;
a(4) = 36 = 2*2*3*3 = 3+5+11+17;
a(5) = 48 = 2*2*2*2*3 = 2+3+5+7+31.

Crossrefs

Sequence in context: A347495 A253608 A126977 * A324571 A076505 A218073

Adjacent sequences: A102234 A102235 A102236 * A102238 A102239 A102240

Keyword

nonn

Author

Giovanni Teofilatto, Feb 18 2005

Extensions

Corrected and extended by Ray Chandler Feb 25 2005

Status

approved