What is the 5660th prime number?
The 5660th prime number is 55793. The next prime is 55799 (a gap of 6) and the one before is 55787.
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 5660th one is 55793.
- 2
55793 is prime because no prime up to ā55793 ā 236.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5660th prime is close to 5660 Ć ln(5660) ā 48909, and here it is 55793.
- 4
55793 has no twin: neither 55791 nor 55795 is prime.
Primes around the 5660th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5657 | 55733 | 12 |
| 5658 | 55763 | 30 |
| 5659 | 55787 | 24 |
| 5660 | 55793 | 6 |
| 5661 | 55799 | 6 |
| 5662 | 55807 | 8 |
| 5663 | 55813 | 6 |
Questions
What is the 5660th prime number?
55793.
Which prime number is 55793?
55793 is the 5660th prime number.
What is the sum of the first 5660 primes?
148,882,075.