What is the 5659th prime number?
The 5659th prime number is 55787. The next prime is 55793 (a gap of 6) and the one before is 55763.
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 5659th one is 55787.
- 2
55787 is prime because no prime up to ā55787 ā 236.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5659th prime is close to 5659 Ć ln(5659) ā 48899, and here it is 55787.
- 4
55787 has no twin: neither 55785 nor 55789 is prime.
Primes around the 5659th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5656 | 55721 | 4 |
| 5657 | 55733 | 12 |
| 5658 | 55763 | 30 |
| 5659 | 55787 | 24 |
| 5660 | 55793 | 6 |
| 5661 | 55799 | 6 |
| 5662 | 55807 | 8 |
Questions
What is the 5659th prime number?
55787.
Which prime number is 55787?
55787 is the 5659th prime number.
What is the sum of the first 5659 primes?
148,826,282.