A260083 Consecutive numbers generated by the 'random' function in PARI (32 bit, version > 2.4) using the default argument (2^31).

326511477, 1362174608, 903267448, 656347688, 1853455872, 693790135, 1743812782, 1381849689, 1919384312, 561030593, 610902088, 1730365257, 1381380589, 1437333698, 1880143150, 1861285526, 135271255, 2062787134, 476812016, 748713098, 702275007, 1351923632

Offset: 1

Author

Felix Fröhlich, Jul 15 2015

Keywords

• nonn

Comments

These are the values the function generates in PARI/GP v 2.7.0, using Richard Brent's XORGEN algorithm.

For all n, 0 < a(n) < 2^31.

All 32-bit PARI versions > 2.4 should yield this sequence of pseudo-random numbers, when the random generator is in its initial state or reset to that state using setrand(1). - M. F. Hasler, Sep 18 2016

The generator has a period of 2^4096-1. - Hugo Pfoertner, Sep 18 2016

Links

• Felix Fröhlich, Table of n, a(n) for n = 1..10000
• Richard P. Brent, Some long-period random number generators using shifts and xors, ANZIAM Journal 48 (CTAC2006), C188-C202, 2007.
• PARI, Catalogue of GP/PARI Functions, Conversions and similar elementary functions or commands: random({N = 2^{{31}}})
• Index entries for sequences related to pseudo-random numbers.

Crossrefs

Cf. A061364, A096558, A221555, A221556, A221557, A221558, A221559, A221560, A221561, A221562.

Cf. A276820: Corresponding 64 bit random number generator.

Programs

PARI

a(n) = random \\ Works only if called first with n=1, then with n=2, etc, and if the internal random generator was never called before or reset via setrand(1)

PARI

setrand(1); A260083=vector(100,i,random()) \\ M. F. Hasler, Sep 18 2016