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A171566 Primes p such that 2*p-3 and 2*(2*p-3)-3 are primes (First member of a primes in a 2*p-3 double progression). 1
3, 5, 7, 13, 17, 23, 37, 43, 97, 107, 113, 127, 157, 167, 223, 283, 317, 373, 433, 547, 563, 587, 617, 647, 743, 757, 773, 937, 1123, 1277, 1297, 1423, 1483, 1487, 1543, 1583, 1597, 1667, 1697, 1823, 1913, 1933, 1973, 2137, 2143, 2243, 2333, 2437, 2467 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
REFERENCES
Mohammad K. Azarian, Double Progression, Problem 231, Math Horizons, Vol. 16, Issue 4, April 2009, p. 31. Solution published in Vol. 17, Issue 2, November 2009, p. 32.
LINKS
EXAMPLE
2*3-3=3, 2*5-3=7; 2*7-3=11, 2*7-3=11; 2*11-3=19,..
MATHEMATICA
Select[Prime[Range[7! ]], PrimeQ[2*#-3]&&PrimeQ[2*(2*#-3)-3]&]
Select[Prime[Range[400]], AllTrue[{2#-3, 4#-9}, PrimeQ]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jul 04 2021 *)
CROSSREFS
Sequence in context: A067567 A104294 A262100 * A137270 A071111 A177070
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 29 08:59 EDT 2024. Contains 371268 sequences. (Running on oeis4.)