A083130 Consider triangle in which n-th row contains the smallest set of n consecutive numbers whose LCM is divisible by primorial(n) (the product of first n primes). Sequence contains the first column.

2, 2, 3, 4, 7, 9, 11, 32, 113, 110, 85, 433, 368, 770, 1878, 888, 2537, 14088, 17748, 17747, 20293, 20292, 59407, 168902, 70209, 2542357, 3703353, 3703352, 3703356, 4430950, 122391287, 124835381, 174729495, 393352750, 1235974650, 2448949093

Offset

1,1

Links

Table of n, a(n) for n=1..36.

Example

2
2 3
3 4 5
4 5 6 7
7 8 9 10 11
9 10 11 12 13 14
11 12 13 14 15 16 17
...

Prog

(PARI) doIt(partial, current, n) = local(p, nextP); p = prime(current); if (p <= n, leastFound = lift(partial), for (i = 1, n, nextP = chinese(Mod(-i, p), partial); if (lift(nextP) < leastFound, doIt(nextP, current - 1, n)))); print(2); for (j = 2, 50, leastFound = prime(j)^j; for (k = 1, j, doIt(Mod(-k, prime(j)), j - 1, j)); print(leastFound + 1));

Crossrefs

Cf. A083129.

Sequence in context: A125554 A345867 A252796 * A083129 A365090 A110160

Adjacent sequences: A083127 A083128 A083129 * A083131 A083132 A083133

Keyword

nonn

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Apr 23 2003

Extensions

More terms from David Wasserman, Oct 25 2004

Status

approved