What is the 134th prime number?
The 134th prime number is 757. The next prime is 761 (a gap of 4) and the one before is 751.
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 134th one is 757.
- 2
757 is prime because no prime up to ā757 ā 27.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 134th prime is close to 134 Ć ln(134) ā 656, and here it is 757.
- 4
757 has no twin: neither 755 nor 759 is prime.
Primes around the 134th
| Position | Prime | Gap from the previous |
|---|---|---|
| 131 | 739 | 6 |
| 132 | 743 | 4 |
| 133 | 751 | 8 |
| 134 | 757 | 6 |
| 135 | 761 | 4 |
| 136 | 769 | 8 |
| 137 | 773 | 4 |
Questions
What is the 134th prime number?
757.
Which prime number is 757?
757 is the 134th prime number.
What is the sum of the first 134 primes?
46,191.