What is the 107th prime number?
The 107th prime number is 587. The next prime is 593 (a gap of 6) and the one before is 577.
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 107th one is 587.
- 2
587 is prime because no prime up to ā587 ā 24.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 107th prime is close to 107 Ć ln(107) ā 500, and here it is 587.
- 4
587 has no twin: neither 585 nor 589 is prime.
Primes around the 107th
| Position | Prime | Gap from the previous |
|---|---|---|
| 104 | 569 | 6 |
| 105 | 571 | 2 |
| 106 | 577 | 6 |
| 107 | 587 | 10 |
| 108 | 593 | 6 |
| 109 | 599 | 6 |
| 110 | 601 | 2 |
Questions
What is the 107th prime number?
587.
Which prime number is 587?
587 is the 107th prime number.
What is the sum of the first 107 primes?
28,104.