|
Search: id:A001912
|
|
|
| A001912 |
|
Numbers n such that 4*n^2 + 1 is prime.
(Formerly M0636 N0232)
|
|
+0
14
|
|
| 1, 2, 3, 5, 7, 8, 10, 12, 13, 18, 20, 27, 28, 33, 37, 42, 45, 47, 55, 58, 60, 62, 63, 65, 67, 73, 75, 78, 80, 85, 88, 90, 92, 102, 103, 105, 112, 115, 118, 120, 125, 128, 130, 132, 135, 140, 142, 150, 153, 157, 163, 170, 175, 192, 193, 198, 200
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
REFERENCES
|
E. Kogbetliantz and A. Krikorian, Handbook of First Complex Prime Numbers, Gordon and Breach, NY, 1971, p. 1.
M. Kraitchik, Recherches sur la Th\'{e}orie des Nombres. Gauthiers-Villars, Paris, Vol. 1, 1924, Vol. 2, 1929, see Vol. 1, p. 11.
C. S. Ogilvy, Tomorrow's Math. 2nd ed., Oxford Univ. Press, 1972, p. 116.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n=1..10000
Marek Wolf, Search for primes of the form m^2+1
|
|
FORMULA
|
a(n) = A005574(n+1)/2.
|
|
MATHEMATICA
|
lst={}; Do[If[PrimeQ[4*n^2+1], AppendTo[lst, n]], {n, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 04 2008]
|
|
CROSSREFS
|
Cf. A002496, A005574, A062325, A090693.
Sequence in context: A047222 A028763 A143826 this_sequence A083027 A060107 A159556
Adjacent sequences: A001909 A001910 A001911 this_sequence A001913 A001914 A001915
|
|
KEYWORD
|
nonn,easy,nice
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
