A129260 Column 1 of prime separator array A129258.

1, 3, 5, 8, 11, 14, 17, 19, 24, 26, 30, 33, 37, 41, 43, 47, 50, 53, 57, 59, 62, 64, 70, 73, 79, 81, 84, 88, 91, 95, 101, 103, 107, 110, 112, 116, 121, 123, 129, 131, 135, 137, 141, 149, 151, 154, 157, 160, 163, 167, 170, 175, 178, 181, 186, 191, 193, 195, 197, 203

Offset

1,2

Comments

This contains the primes 3,5,11,17,19,37,41,43,47,53,... A129259 contains all primes not here.

Links

Table of n, a(n) for n=1..60.

Formula

A129258 is the sequence T(1,n) defined as follows. T(1,1)=1. For n>=1, let S(n)={(i,j): 1<=i<=n and 1<=j<=n}. Once T(i,j) is defined on S(n), define T(1,n+1)=least positive integer (l.p.i.) not among T(i,j) for (i,j) in S(n); T(n+1,1)=l.p.i. not among T(i,j) for (i,j) in S(n) and not T(1,n+1); T(m,n+1)=T(m,1)*T(1,n+1) for m=2,3,...,n+1; T(n+1,m)=T(n+1,1)*T(1,m) for m=2,3,...,n+1.

Example

Column 1 of the array A129258 with northwest corner
1 2 4 7 9 13 15 18
3 6 12 21 27 39 45 54
5 10 20 35 45 65 75 90
8 16 32 56 72 104 120 144
11 22 44 77 99 143 165 198

Crossrefs

Cf. A129258, A129259.

Sequence in context: A180124 A095375 A345979 * A076829 A084505 A084555

Adjacent sequences: A129257 A129258 A129259 * A129261 A129262 A129263

Keyword

nonn

Author

Clark Kimberling, Apr 06 2007

Status

approved