A133837 Semiprimes from partition of sequence of positive integers.

6, 4, 26, 9, 10, 65, 33, 57, 21, 22, 377, 111, 39, 123, 87, 91, 95, 49, 206, 339, 121, 62, 393, 69, 141, 145, 74, 1141, 362, 93, 94, 95, 291, 505, 209, 106, 215, 219, 111, 339, 115, 1205, 253, 917, 685, 566, 289, 146, 295, 299, 303, 933, 159, 321, 489, 835, 341

Offset: 1

Author

Zak Seidov, Sep 26 2007

Keywords

• nonn

Comments

Partition the sequence of positive integers into groups of numbers that sum up to semiprimes: {1, 2, 3}, {4}, {5..8}, {9}, {10}, {11..15}, {16, 17}, {18..20}, {21}, {22}, {23..35}, {36..38}, {39}, {40..42}, {43, 44}, etc. Corresponding semiprimes are: 6, 4, 26, 9, 10, 65, 33, 57, 21, 22, 377, 111, 39, 123, 87, etc.

Is the sequence finite? See comment in A109411.

Links

• Zak Seidov, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A109411.

Programs

Mathematica

s=Range[300];c=0;Label[1];i=1;p=s[[1]];While[i1,Goto[1]];Table[a[j],{j,c}]