353 (number)

Source: Wikipedia, the free encyclopedia.
Not to be confused with
353 AD or 353 BC
.
← 352
353
354 →
Cardinalthree hundred fifty-three
Ordinal353rd
(three hundred fifty-third)
Factorizationprime
Prime71st
Greek numeralΤΝΓ´
Roman numeralCCCLIII, cccliii
Binary1011000012
Ternary1110023
Senary13456
Octal5418
Duodecimal25512
Hexadecimal16116

353 (three hundred [and] fifty-three) is the

354. It is a prime number
.

In mathematics

353 is the 71st prime number, a

Eisenstein prime.[6]

In connection with

power is equal to the sum of four other 4th powers, as discovered by R. Norrie in 1911:[7][8][9]

In a seven-team

strongly connected tournaments on seven nodes.[10]

353 is one of the solutions to the stamp folding problem: there are exactly 353 ways to fold a strip of eight blank stamps into a single flat pile of stamps.[11]

353 in Mertens Function returns 0.[12]

353 is an index of a prime Lucas number.[13]

References

  1. ^ Sloane, N. J. A. (ed.). "Sequence A002385 (Palindromic primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A000928 (Irregular primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A006450 (Primes with prime subscripts)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ "Chen prime". mathworld.wolfram.com.
  5. ^ "Proth prime". mathworld.wolfram.com.
  6. ^ "Eisentein prime". mathworld.wolfram.com.
  7. ^ Sloane, N. J. A. (ed.). "Sequence A003294 (Numbers n such that n4 can be written as a sum of four positive 4th powers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  8. MR 0329184
    .
  9. MR 0720650
    .
  10. ^ Sloane, N. J. A. (ed.). "Sequence A051337 (Number of strongly connected tournaments on n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  11. ^ Sloane, N. J. A. (ed.). "Sequence A001011 (Number of ways to fold a strip of n blank stamps)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  12. ^ Sloane, N. J. A. (ed.). "Sequence A028442 (Numbers k such that Mertens's function M(k) (A002321) is zero)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  13. ^ Sloane, N. J. A. (ed.). "Sequence A001606 (Indices of prime Lucas numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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