What is the 110th prime number?
The 110th prime number is 601. The next prime is 607 (a gap of 6) and the one before is 599.
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 110th one is 601.
- 2
601 is prime because no prime up to ā601 ā 24.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 110th prime is close to 110 Ć ln(110) ā 517, and here it is 601.
- 4
601 is a twin prime: 599 and 601 are both prime.
Primes around the 110th
| Position | Prime | Gap from the previous |
|---|---|---|
| 107 | 587 | 10 |
| 108 | 593 | 6 |
| 109 | 599 | 6 |
| 110 | 601 | 2 |
| 111 | 607 | 6 |
| 112 | 613 | 6 |
| 113 | 617 | 4 |
Questions
What is the 110th prime number?
601.
Which prime number is 601?
601 is the 110th prime number.
What is the sum of the first 110 primes?
29,897.