A056600 a(n) is smallest number A such that there is an equality of the form (A=Product of n distinct primes) = (B=Product of n distinct primes) + (C=Product of n distinct primes) with gcd(A,B) = gcd(B,C) = gcd(A,C) = 1, B < C.

5, 55, 1105, 32045, 1626905, 86522095, 6738381681

Offset

1,1

Links

Table of n, a(n) for n=1..7.

Example

n..a(n)=A......B...........C...........A=B+C factorized
1..5...........2...........3...........(5)=(2)+(3)
2..55..........21..........34..........(5*11)=(3*7)+(2*17)
3..1105........231.........874.........(5*13*17)=(3*7*11)+(2*19*23)
4..32045.......15686.......16359.......(5*13*17*29)=(2*11*23*31)+(3*7*19*41)
5..1626905.....397358......1229547.....(5*7*23*43*47)=(2*13*17*29*31)+(3*11*19*37*53)
6..86522095....35750533....50771562....(5*11*17*37*41*61)=(7*13*19*23*29*31)+(2*3*43*47*53*79)
7..6738381681..3218793466..3519588215..(3*17*29*31*47*53*59)=(2*7*23*37*43*61*103)+(5*11*13*19*41*71*89)

Crossrefs

Cf. A056602, A069717, A069718.

Sequence in context: A280573 A192723 A102221 * A177819 A126456 A126157

Adjacent sequences: A056597 A056598 A056599 * A056601 A056602 A056603

Keyword

more,nonn

Author

Naohiro Nomoto, Aug 21 2000

Extensions

a(5)-a(6) from Lars Blomberg, Oct 17 2015

a(7) from Lars Blomberg, Oct 20 2015

Status

approved