A203018 The n-th prime number that equals 1 (mod 4n).

5, 41, 61, 193, 241, 337, 449, 673, 613, 1201, 1453, 1249, 2081, 2633, 1861, 3457, 4217, 3169, 6841, 4801, 4201, 7481, 9109, 6529, 7901, 13001, 8209, 12097, 12413, 8641, 16741, 17921, 10429, 19993, 15401, 16417, 24421, 26297, 17317, 23201, 33457, 21169

Offset

1,1

Links

Zak Seidov, Table of n, a(n) for n = 1..1000

Example

a(1)=5 because 1+4=5 is 1st prime == 1 mod 4,
a(2)=41 because 1+(4*2)*{2,5}={17,41} are 1st and 2nd primes == 1 mod 8,
a(3)=61 because 1+(4*3)*{1,3,5}={13,37,61} are 1st, 2nd and 3rd primes == 1 mod 12;
a(1000)=24952001=1+4000*6238;
a(10000)=3345120001=1+40000*83628;
a(10^5)=411686400001=A000040(16018223727)=1+4*10^6*1029216;
a(10^6)=48792928000001=A000040(1600641618847)=1+4*10^6*12198232.

Crossrefs

Cf. A000040, A002144, A070848.

Sequence in context: A174054 A106963 A276916 * A349786 A199692 A031917

Adjacent sequences: A203015 A203016 A203017 * A203019 A203020 A203021

Keyword

nonn

Author

Zak Seidov, Dec 27 2011

Status

approved