A242806 Integers n such that each of n, n+1, n+2, n+4, n+5, n+6 is the squarefree product of four primes.

9743613, 9780589, 22669381, 23209809, 23395137, 26143197, 28042877, 38110029, 43335609, 45127905, 45559613, 47163489, 47944865, 48030229, 48611913, 48762829, 50015301, 50600341, 50742501, 51256541, 52691613

Offset

1,1

Comments

This is a higher analog to A242804 and A242805.

Links

Table of n, a(n) for n=1..21.

Example

9743613=3*11*503*587, 9743614=2*59*71*1163, 9743615= 5*7*167*1667, 9743617=13*37*47*431, 9743618=2*17*19*15083, 9743619=3*83*109*359.

Prog

(PARI)
{ default(primelimit, 1000M); i=0; j=0; k=0; l=0; m=0; loc=0; lb=2; ub=9*10^9; o=4; for(n=lb, ub, if(issquarefree(n)&&(o==omega(n)), loc=loc+1; if(1==loc, i=n; ); if(2==loc, if(i+1==n, j=n; ); if(i+1<n, loc=1; i=n; ); ); if(3==loc, if(j+1==n, k=n; ); if(j+1<n, loc=1; i=n; ); ); if(4==loc, if(k+2==n, l=n; ); if(k+2<n, loc=1; i=n; ); ); if(5==loc, if(l+1==n, m=n; ); if(l+1<n, loc=1; i=n; ); ); if(6==loc, if(m+1==n, print1(i, ", "); loc=0; ); if(m+1<n, loc=1; i=n; ); ); ); ); }

Crossrefs

Cf. A242793 and A242804 (two primes), A242805 (three primes), A242829 (five primes).

Sequence in context: A154573 A058332 A058328 * A016822 A016858 A016978

Adjacent sequences: A242803 A242804 A242805 * A242807 A242808 A242809

Keyword

nonn

Author

Daniel Constantin Mayer, May 23 2014

Status

approved