In Mathematics
Seventy-seven is the 22nd discrete biprime and the first of the (7.q) family. Since both 7 and 11 are Gaussian primes, this means that 77 is a Blum integer.
It is the sum of three squares, 42 + 52 + 62, as well as the sum of the first eight prime numbers.
77 has a aliquot sum of 19 and it is the second number to do so the first being 65; 77 is the 2nd member of the 19-aliquot tree.
77 and 78 form a Ruth–Aaron pair.
It is possible for a sudoku puzzle to have as many as 77 givens, yet lack a unique solution.
It and its sibling 49 are the only 2-digit numbers whose home primes have not been calculated.
It is the number of digits of the 12th perfect number. It also is the number of integer partitions of the number 12.
Read more about this topic: 77 (number)
Famous quotes containing the word mathematics:
“It is a monstrous thing to force a child to learn Latin or Greek or mathematics on the ground that they are an indispensable gymnastic for the mental powers. It would be monstrous even if it were true.”
—George Bernard Shaw (1856–1950)
“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)