A113969 The first illegal prime number (the 1401 digits of its decimal expansion).

4, 8, 5, 6, 5, 0, 7, 8, 9, 6, 5, 7, 3, 9, 7, 8, 2, 9, 3, 0, 9, 8, 4, 1, 8, 9, 4, 6, 9, 4, 2, 8, 6, 1, 3, 7, 7, 0, 7, 4, 4, 2, 0, 8, 7, 3, 5, 1, 3, 5, 7, 9, 2, 4, 0, 1, 9, 6, 5, 2, 0, 7, 3, 6, 6, 8, 6, 9, 8, 5, 1, 3, 4, 0, 1, 0, 4, 7, 2, 3, 7, 4, 4, 6, 9, 6, 8, 7, 9, 7, 4, 3, 9, 9, 2, 6, 1, 1, 7, 5, 1, 0, 9, 7, 3

Offset

1,1

Comments

The first illegal prime number was generated on March 2001 by Phil Carmody. Its binary representation corresponds to a compressed version of the C source code of a computer program implementing the DeCSS decryption scheme, making any DVD copy readable with any DVD player. Interpreted in this particular way, this number describes a computer program which bypasses copyright protection schemes on some DVDs. Such programs are illegal to possess or distribute under the Digital Millennium Copyright Act. Of course, any prime number is not illegal, although such an interpretation of it could be. It's fully displayed in the Wiki link below. Phil Carmody generated also other illegal primes; one of them (1811 digits) represents a non-compressed executable that performs the same task as this compressed program (cf. A113970).

References

David Wells, Prime numbers, John Wiley and Sons, Inc. (2005), p. 127.

Links

Nathaniel Johnston, Table of n, a(n) for n = 1..1401 (full sequence)

Wikipedia, DeCSS.

Wikipedia, Illegal prime.

Crossrefs

Cf. A113970.

Sequence in context: A197849 A292466 A246856 * A155782 A200695 A021677

Adjacent sequences: A113966 A113967 A113968 * A113970 A113971 A113972

Keyword

base,easy,fini,full,nonn

Author

Alexandre Wajnberg, Jan 31 2006

Status

approved