**In Mathematics**

**Thirty-nine** is the sum of five consecutive primes (3 + 5 + 7 + 11 + 13) and the sum of the first three powers of 3 . Given 39, the Mertens function returns 0.

39 is the smallest natural number which has three partitions into three parts which all give the same product when multiplied: {25, 8, 6}, {24, 10, 5}, {20, 15, 4}.

39 is the 12th distinct semiprime and the 4th in the {3.q} family. It is the last member of the third distinct biprime pair (38,39).

39 has an aliquot sum of 17 which is itself a prime. 39 is the 4th member of the 17-aliquot tree

The thirteenth Perrin number is 39, which comes after 17, 22, 29 (it is the sum of the first two mentioned).

Since the greatest prime factor of 392 + 1 = 1522 is 761, which is obviously more than 39 twice, 39 is a Størmer number.

The F26A graph is a symmetric graph with 39 edges.

Read more about this topic: 39 (number)

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### Famous quotes containing the word mathematics:

“*Mathematics* alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In *mathematics* we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of *mathematics* is in relation to our intelligence.”

—Simone Weil (1909–1943)

“In *mathematics* he was greater

Than Tycho Brahe, or Erra Pater:

For he, by geometric scale,

Could take the size of pots of ale;

Resolve, by sines and tangents straight,

If bread and butter wanted weight;

And wisely tell what hour o’ th’ day

The clock doth strike, by algebra.”

—Samuel Butler (1612–1680)