Number of the day: 3119

William Rowan Hamilton was born on this day 212 years ago.

John Venn was born on this day 183 years ago.

Properties of the number 3119:

3119 is a cyclic number.
3119 and 3121 form a twin prime pair.
3119 has 21 antidivisors and 3118 totatives.
3119 has a semiprime digit sum 14 in base 10.
Reversing the decimal digits of 3119 results in a semiprime.
3119 = 1560² - 1559² is the difference of 2 nonnegative squares in 1 way.
3119 is the difference of 2 positive pentagonal numbers in 1 way.
3119 is not the sum of 3 positive squares.
3119² is the sum of 3 positive squares.
3119 is a proper divisor of 2¹⁵⁵⁹ - 1.
3119 = '31' + '19' is the concatenation of 2 prime numbers.
3119 is an emirp in (at least) the following bases: 2, 5, 15, 17, 19, 20, 24, 25, 27, 39, 42, 44, 46, 47, 51, 56, 58, 59, 68, 71, 72, 73, 76, 79, 81, 83, 85, 87, 88, 91, 92, 95, 97, and 100.
3119 is palindromic in (at least) the following bases: -15, and -38.
3119 in base 5 = 44434 and consists of only the digits '3' and '4'.
3119 in base 55 = 11d and consists of only the digits '1' and 'd'.

The number 3119 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A001126: Primes with 7 as smallest primitive root.
A001154: Describe the previous term! (method A - initial term is 9).
A024770: Right-truncatable primes: every prefix is prime.
A045709: Primes with first digit 3.
A059452: Safe primes (A005385) which are not Sophie Germain primes.
A060229: Smaller member of a twin prime pair whose mean is a multiple of A002110(3)=30.
A068652: Numbers such that every cyclic permutation is a prime.
A142463: a(n) = 2*n^2 + 2*n - 1.
A164288: Members of A164368 which are not Ramanujan primes.
A215419: Primes that remain prime when a single digit 3 is inserted between any two consecutive digits or as the leading or trailing digit.