A091134 Number of Gaussian primes a+b*i such that sqrt(a^2 + b^2) <= 10^n.

100, 4928, 313752, 23046512, 1820205436, 150431552012, 12819767598972, 1116953361826164, 98959817242332844, 8883278410114778600

Offset: 1

Author

Eric W. Weisstein, Dec 19 2003

Keywords

• nonn
• more

Links

• Marc Deléglise, Pierre Dusart, and Xavier-Francois Roblot, Counting primes in residue classes, Math. Comp. 73 (2004), no. 247, 1565-1575
• Eric Weisstein's World of Mathematics, Gaussian Prime

Crossrefs

Bisection of A091100.

Formula

a(n) = 8*A091098(2*n) + 4*A091099(n) + 4. - Seiichi Manyama, Dec 03 2017

Extensions

a(5)-a(10) from Seiichi Manyama using the data in A091098 and A091099, Dec 03 2017