A152816 Minimum positive initial term of a minimum length n-fold stapled sequence.

1, 2184, 2496060719312

Offset

0,2

Comments

In an n-fold stapled sequence, each term in the sequence is not coprime to at least n other terms. The minimum length of an n-fold stapled sequence is A152817(n). The known terms are also the minimum possible for an n-fold stapled sequence of any length.

Links

Table of n, a(n) for n=0..2.

Example

For n = 2, the 41 consecutive integers of the first minimum length 2-fold stapled sequence is given in the following list along with the prime factors each term shares with at least two other terms:
2496060719312: 2, 17
2496060719313: 3, 7
2496060719314: 2, 19, 37
2496060719315: 5
2496060719316: 2, 3
2496060719317: 11
2496060719318: 2
2496060719319: 3
2496060719320: 2, 5, 7, 31
2496060719321: 13
2496060719322: 2, 3
2496060719323: 23, 29
2496060719324: 2
2496060719325: 3, 5
2496060719326: 2
2496060719327: 7
2496060719328: 2, 3, 11
2496060719329: 17
2496060719330: 2, 5
2496060719331: 3
2496060719332: 2
2496060719333: 19
2496060719334: 2, 3, 7, 13
2496060719335: 5
2496060719336: 2
2496060719337: 3
2496060719338: 2
2496060719339: 11
2496060719340: 2, 3, 5
2496060719341: 7
2496060719342: 2
2496060719343: 3
2496060719344: 2
2496060719345: 5
2496060719346: 2, 3, 17, 23
2496060719347: 13
2496060719348: 2, 7
2496060719349: 3
2496060719350: 2, 5, 11
2496060719351: 31, 37
2496060719352: 2, 3, 19, 29

Crossrefs

Cf. A090318, A152817 (minimum length).

Sequence in context: A002521 A059757 A068304 * A321823 A215960 A376143

Adjacent sequences: A152813 A152814 A152815 * A152817 A152818 A152819

Keyword

bref,hard,more,nonn

Author

William Rex Marshall, Dec 13 2008

Status

approved