What is the 131st prime number?
The 131st prime number is 739. The next prime is 743 (a gap of 4) and the one before is 733.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 131st one is 739.
- 2
739 is prime because no prime up to ā739 ā 27.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 131st prime is close to 131 Ć ln(131) ā 639, and here it is 739.
- 4
739 has no twin: neither 737 nor 741 is prime.
Primes around the 131st
| Position | Prime | Gap from the previous |
|---|---|---|
| 128 | 719 | 10 |
| 129 | 727 | 8 |
| 130 | 733 | 6 |
| 131 | 739 | 6 |
| 132 | 743 | 4 |
| 133 | 751 | 8 |
| 134 | 757 | 6 |
Questions
What is the 131st prime number?
739.
Which prime number is 739?
739 is the 131st prime number.
What is the sum of the first 131 primes?
43,940.