A230034 Numbers which can't be represented as a sum of 3 relatively prime positive integers such that each pair of them is not coprime.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 50, 51, 52, 54, 56, 57, 58, 60, 62, 63, 64, 66, 68, 70, 72, 74, 75, 76, 78

Offset: 1

Author

Vladimir Letsko, Dec 20 2013

Keywords

• nonn
• fini
• full

Comments

Complement of A230035.

Sequence is finite and contains exactly 156 terms.

Generally for every positive integer k there is only a finite quantity of numbers which can't be represented as a sum of k + 1 relatively prime positive integers such that any k of them are not coprime.

For instance, for k = 3, 570570 is the largest number which cannot be represented.

Examples

			Every positive integer less than 31 is in the sequence because 31 obviously is the least number which can be represented as 2*3 + 2*5 + 3*5, i.e. as a sum of 3 relatively prime positive integers such that every pair of them is not coprime.
		

Links

• Vladimir Letsko, Table of n, a(n) for n = 1..156 [uploaded as b-file by _Georg Fischer_, Aug 24 2020]
• Vladimir Letsko, Table of n, a(n) for n=1..156 (full sequence, source for b-file)

Crossrefs

Cf. A230035.