What is the 127th prime number?
The 127th prime number is 709. The next prime is 719 (a gap of 10) and the one before is 701.
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 127th one is 709.
- 2
709 is prime because no prime up to ā709 ā 26.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 127th prime is close to 127 Ć ln(127) ā 615, and here it is 709.
- 4
709 has no twin: neither 707 nor 711 is prime.
Primes around the 127th
| Position | Prime | Gap from the previous |
|---|---|---|
| 124 | 683 | 6 |
| 125 | 691 | 8 |
| 126 | 701 | 10 |
| 127 | 709 | 8 |
| 128 | 719 | 10 |
| 129 | 727 | 8 |
| 130 | 733 | 6 |
Questions
What is the 127th prime number?
709.
Which prime number is 709?
709 is the 127th prime number.
What is the sum of the first 127 primes?
41,022.