NOMBRES PREMIERS

p
a≥2
? a
? a p
2≤p≤√a
a
a a p
a2≤p < a p
d p a 2≤d < p < a p
a
p a p0a2≤p≤p0pp0=a
p2≤pp0=a2≤p≤√a
a > 1
p2≤p≤√a
n n
√n

P
N= 2 ×3×5×7×11 ×. . . ×P+ 1
N p p N
p2×3×5×7×11 ×. . . ×P p
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n
n2−8n+ 15 n2+ 4n+ 3
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n m 2n2+5nm+3m2
2n2+ 5nm + 3m2= (n+m)(2n+ 3m)
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n4+ 4 n4+ 4 = (n2+ 2)2−4n2
n n4+ 4
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p n
p n
p n
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100! + 2 100! + 3
100! + 4 100! + 100
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33 218 925×2169 690 ±1
50 000