What is the 119th prime number?
The 119th prime number is 653. The next prime is 659 (a gap of 6) and the one before is 647.
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 119th one is 653.
- 2
653 is prime because no prime up to ā653 ā 25.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 119th prime is close to 119 Ć ln(119) ā 569, and here it is 653.
- 4
653 has no twin: neither 651 nor 655 is prime.
Primes around the 119th
| Position | Prime | Gap from the previous |
|---|---|---|
| 116 | 641 | 10 |
| 117 | 643 | 2 |
| 118 | 647 | 4 |
| 119 | 653 | 6 |
| 120 | 659 | 6 |
| 121 | 661 | 2 |
| 122 | 673 | 12 |
Questions
What is the 119th prime number?
653.
Which prime number is 653?
653 is the 119th prime number.
What is the sum of the first 119 primes?
35,568.