[seqfan] On some constellatijns of primes

юрий герасимов 2stepan at rambler.ru
Sat Oct 20 11:30:22 CEST 2012



Dear SeqFans,
If 
1) A005386 are Safe primes p such that A064800(p -1) = A064800(p) where A064800(n) is n plus number of its prime-factors, 
2) A201147 are primes p such that A064800(p - 2) = A064800(p -1) = A064800(p), 
3) A201220 are primes p such that A064800(p - 3) = A064800(p - 2) = A064800(p -1) = A064800(p), 
then 
4) primes p such that A064800(p) < A064800(p + 1) < A064800(p + 2) are  2, 13, 37, 43, 61, 73, 97, 157, 163, 173, 193, 229, 241, 277, 283, 313, 331, 349, 373, 397, 421, 433, 457, 523, 541, 547, 601, 613, 619, 661, 673, 691, 709, 727, 733, 757, 823, 853, 877, 907, 997,..(I can't find the sequence in the OEIS), 
5) noncomposite numbers k such that A064800(k) < A064800(k + 1) < A064800(k + 2) < A064800(k + 3) are  1, 13, 37, 61, 73, 97, 157, 173, 193, 229, 277, 283, 349, 373, 397, 421, 433, 457, 541, 547, 601, 613, 661, 709, 733, 757, 853, 877, 907, 997,...(I can't find the sequence in the OEIS). 
Which sequence (4 or 5) will be useful to publish in the OEIS ? 
Regards, 
JSG


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