From Wikipedia, the free encyclopedia
Natural number
227 (two hundred [and] twenty-seven) is the natural number between
226 and
228. It is also a
prime number.
In mathematics
227 is a
twin prime and the start of a
prime triplet (with
229 and
233).
[1] It is a
safe prime, as dividing it by two and rounding down produces the
Sophie Germain prime
113.
[2] It is also a
regular prime,
[3] a
Pillai prime,
[4] a
Stern prime,
[5] and a
Ramanujan prime.
[6]
227 and 229 form the first twin prime pair for which neither is a
cluster prime.
The 227th
harmonic number is the first to exceed six.
[7] There are 227 different
connected graphs with eight edges,
[8] and 227
independent sets in a 3 × 4
grid graph.
[9]
References
-
^
Sloane, N. J. A. (ed.).
"Sequence A022004 (Initial members of prime triples (p, p+2, p+6))". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A005385 (Safe primes)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A007703 (Regular primes)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A063980 (Pillai primes)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A042978 (Stern primes)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A104272 (Ramanujan primes)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A002387 (Least k such that H(k) > n, where H(k) is the harmonic number sum_{i=1..k} 1/i)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A002905 (Number of connected graphs with n edges)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A051736 (Number of 3 x n (0,1)-matrices with no consecutive 1's in any row or column)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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100,000
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1,000,000
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10,000,000
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100,000,000
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1,000,000,000
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