Veryprime
المؤلف:
Sloane, N. J. A
المصدر:
Sequence A050264 in "The On-Line Encyclopedia of Integer Sequences."
الجزء والصفحة:
...
10-10-2020
1078
Veryprime
A positive integer 
is a veryprime iff all primes 
satisfy
![<span style=]() {|2[n (mod p)]-p|<=1 very strong; |2[n (mod p)]-p|<=sqrt(p) strong; |2[n (mod p)]-p|<=p/2 weak. " src="https://mathworld.wolfram.com/images/equations/Veryprime/NumberedEquation1.gif" style="height:66px; width:236px" /> |
(1)
|
The weak veryprimes are then 2, 3, 5, 7, 11, 13, 17, 19, 23, 37, 43, 47, 53, 67, 73, 103, 107, 137, 157, 173, 227, 347, 487, 773, ... (OEIS A050264), the strong veryprimes are 2, 3, 5, 7, 11, 13, 17, 19, 23, 37, 43, 47, 53, 67, 73, 137, 227, ..., and the very strong veryprimes are 2, 3, 5, 7, 11, 13, 17, 19, 23, 37, 43, 47, 53, 67, 73, 137, ..., with no others in the first 
primes.
REFERENCES:
Ferry, J. "RE: Veryprimes defined." sci.math posting, 09 Sep 1999.
Sloane, N. J. A. Sequence A050264 in "The On-Line Encyclopedia of Integer Sequences."
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