A299213 Lucas-Carmichael numbers whose prime factors do not divide any smaller Lucas-Carmichael number.

399, 935, 565861139, 5778659039, 22824172799, 49569379679, 221511111527, 572531110799, 745012846679

Offset: 1

Author

Tim Johannes Ohrtmann, Feb 05 2018

Keywords

• nonn
• more

Comments

Also numbers whose number of occurrence in A253597 equals the number of their prime factors.

All known terms have only 3 prime factors. Does any term with more than 3 prime factors exist?

Examples

			565861139 = 193*1163*2521 and no smaller Lucas-Carmichael number is divisible by 193, 1163 or 2521.
		

Crossrefs

Cf. A006972, A202562, A253597.

Programs

PARI

a=readvec("b006972.txt"); print1(399); for(b=2,10000, e=true; f=factor(a[b]); for(d=1,#f[, 1], for(c=1,b-1, if(a[c]%f[d,1]==0, e=false))); if(e==true, print1(", ",a[b])))