A140527 Number of primes p with height h(p) = 1 and fundamental units epsilon(p) < 10^n.

6, 11, 16, 22, 26, 38, 44, 53, 61, 73, 84

Offset

2,1

Links

Table of n, a(n) for n=2..12.

Yasufumi Hashimoto, Asymptotic formulas for partial sums of class numbers of indefinite binary quadratic forms, arXiv:0807.0056 [math.NT], 2008. See table p. 12.

Example

The enumerated primes p with height h(p) = 1 and fundamental units epsilon(p) < 10^2 are {5, 2, 13, 29, 53, 17}.
With epsilon(p) < 10^3 the primes are {37, 173, 293, 101, 197}.
With epsilon(p) < 10^4 the primes are {61, 677, 149, 41, 317}.
With epsilon(p) < 10^5 the primes are {773, 629, 157, 557, 109}.
With epsilon(p) < 10^6 the primes are {461, 797, 2477, 1013, 509}.
With epsilon(p) < 10^7 the primes are {89, 941, 181, 113, 1877, 653, 73, 1493, 3533, 389, 277, 1613}.
With epsilon(p) < 10^8 the primes are {397, 137, 2693, 1637, 1277, 1997}.
With epsilon(p) < 10^9 the primes are {373, 97, 821, 2309, 349, 701, 4157, 853, 1181}.
With epsilon(p) < 10^10 the primes are {4973, 233, 2357, 4373, 4253, 2957, 3797, 613}.
With epsilon(p) < 10^11 the primes are {1109, 3989, 353, 1949, 997, 1733, 1973, 4517, 2621, 7013, 9173}.
With epsilon(p) < 10^12 the primes are {1061, 2333, 4133, 1301, 2789, 421, 5309, 877, 3677, 3461, 10853, 2141}.

Crossrefs

Sequence in context: A315482 A315483 A315484 * A315485 A315486 A315487

Adjacent sequences: A140524 A140525 A140526 * A140528 A140529 A140530

Keyword

nonn,more

Author

Jonathan Vos Post, Jul 03 2008

Status

approved