0,2

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.

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

Cf. A090318, A152817 (minimum length).

Sequence in context: A002521 A059757 A068304 this_sequence A046320 A016759 A086874

Adjacent sequences: A152813 A152814 A152815 this_sequence A152817 A152818 A152819

bref,hard,more,nonn

William Rex Marshall (w.r.marshall(AT)actrix.co.nz), Dec 13 2008