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Number Theory » Combinatorial N.T.

Covering systems with big moduli ★★

Author(s): Erdos; Selfridge

Problem   Does for every integer $ N $ exist a covering system with all moduli distinct and at least equal to~$ N $?

Keywords: covering system

Posted by Robert Samal
updated August 4th, 2007
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Number Theory » Combinatorial N.T.

Odd incongruent covering systems ★★★

Author(s): Erdos; Selfridge

Conjecture   There is no covering system whose moduli are odd, distinct, and greater than 1.

Keywords: covering system

Posted by Robert Samal
updated August 4th, 2007
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