What is the 111th prime number?
The 111th prime number is 607. The next prime is 613 (a gap of 6) and the one before is 601.
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 111th one is 607.
- 2
607 is prime because no prime up to ā607 ā 24.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 111th prime is close to 111 Ć ln(111) ā 523, and here it is 607.
- 4
607 has no twin: neither 605 nor 609 is prime.
Primes around the 111th
| Position | Prime | Gap from the previous |
|---|---|---|
| 108 | 593 | 6 |
| 109 | 599 | 6 |
| 110 | 601 | 2 |
| 111 | 607 | 6 |
| 112 | 613 | 6 |
| 113 | 617 | 4 |
| 114 | 619 | 2 |
Questions
What is the 111th prime number?
607.
Which prime number is 607?
607 is the 111th prime number.
What is the sum of the first 111 primes?
30,504.