What is the 126th prime number?
The 126th prime number is 701. The next prime is 709 (a gap of 8) and the one before is 691.
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 126th one is 701.
- 2
701 is prime because no prime up to ā701 ā 26.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 126th prime is close to 126 Ć ln(126) ā 609, and here it is 701.
- 4
701 has no twin: neither 699 nor 703 is prime.
Primes around the 126th
| Position | Prime | Gap from the previous |
|---|---|---|
| 123 | 677 | 4 |
| 124 | 683 | 6 |
| 125 | 691 | 8 |
| 126 | 701 | 10 |
| 127 | 709 | 8 |
| 128 | 719 | 10 |
| 129 | 727 | 8 |
Questions
What is the 126th prime number?
701.
Which prime number is 701?
701 is the 126th prime number.
What is the sum of the first 126 primes?
40,313.