What is the 5662nd prime number?
The 5662nd prime number is 55807. The next prime is 55813 (a gap of 6) and the one before is 55799.
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 5662nd one is 55807.
- 2
55807 is prime because no prime up to ā55807 ā 236.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5662nd prime is close to 5662 Ć ln(5662) ā 48928, and here it is 55807.
- 4
55807 has no twin: neither 55805 nor 55809 is prime.
Primes around the 5662nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5659 | 55787 | 24 |
| 5660 | 55793 | 6 |
| 5661 | 55799 | 6 |
| 5662 | 55807 | 8 |
| 5663 | 55813 | 6 |
| 5664 | 55817 | 4 |
| 5665 | 55819 | 2 |
Questions
What is the 5662nd prime number?
55807.
Which prime number is 55807?
55807 is the 5662nd prime number.
What is the sum of the first 5662 primes?
148,993,681.