Pairs and triple semiprimes

Jud McCranie judmccr at bellsouth.net
Sat Apr 5 02:14:41 CEST 2003


At 04:36 PM 4/4/2003, all at abouthugo.de wrote:

>SeqFans,
>
>I was a little bit surprised that I could not find
>the following sequences in the OEIS, so I submitted (compiled by hand,
>so please check):
>
>%I A082130
>%S A082130 17 25 28 43 46 47 60 61 71 72 80 92 93 101 102 107 108 109
>110
>118 124 133 144 145 150 151 152 160 161 164 170 196 197 206
>207 208 223 226 235 236 258 259

That is correct, and continues:

17,25,28,43,46,47,60,61,71,72,80,92,93,101,102,107,108,109,110,
118,124,133,144,145,150,151,152,160,161,164,170,196,197,206,
207,208,223,226,235,236,258,259,264,267,268,272,276,290,291,295


>%N A082130 2*n-1 and 2*n+1 are semiprimes.
>%e A082130 a(1)=17 because 2*17-1=33=3*11 and 2*17+1=35=5*7 are both
>semiprimes.
>%Y A082130 Cf. A001358, A082131
>%O A082130 1
>%K A082130 ,nonn,
>%A A082130 Hugo Pfoertner (hugo at pfoertner.org), Apr 04 2003
>
>%I A082131
>%S A082131 93 121 143 185 203 215 217 219 289 301 303 321 393
>413 415 471 517 535 581 669 687 697 791 815 1045

1045 is not (it has 3 factors)

I get this:

93,121,143,185,203,215,217,219,289,301,303,321,393,413,415,471,517,
535,581,669,687,697,791,815,1057,1079,1135,1137,1139,1147,1167,1205,
1255,1315,1345,1347,1349,1385,1387,1389,1391,1403,1563,1641,1687







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