# 39 (number) - in Mathematics

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.

### Other articles related to "in mathematics, mathematics":

Range - Mathematics, Science, and Technology - In Mathematics
... Range (mathematics), a set containing the output values produced by a function Interval (mathematics), also called a range, a set of real numbers that includes all numbers between ...
Mathematics As Science
... Gauss referred to mathematics as "the Queen of the Sciences" ... Of course, mathematics is in this sense a field of knowledge ... the role of empirical experimentation and observation is negligible in mathematics, compared to natural sciences such as psychology, biology, or physics ...
Otto Toeplitz - Life and Work
... Toeplitz's father and grandfather were mathematics teachers ... Toeplitz studied mathematics in the University of Breslau and was awarded a doctorate in algebraic geometry in 1905 ... Mathematics faculty included David Hilbert, Felix Klein, and Hermann Minkowski ...
Størmer's Theorem - Generalizations and Applications - In Mathematics
... Mabkhout (1993) proved that every number x4 + 1, for x > 3, has a prime factor greater than or equal to 137 ... Størmer's theorem is an important part of his proof, in which he reduces the problem to the solution of 128 Pell equations ...
Egon Zakrajšek
... He graduated from technical mathematics at the Department of mathematics and physics of then Faculty for natural sciences and technology (FNT) of the ... and solved problems from many fields the usage of mathematics in natural and social sciences, statistics, mechanics, classical applied mathematics, discrete mathematics, graph and network theory, linear ...

### 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)