What is the 5661st prime number?
The 5661st prime number is 55799. The next prime is 55807 (a gap of 8) and the one before is 55793.
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 5661st one is 55799.
- 2
55799 is prime because no prime up to ā55799 ā 236.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5661st prime is close to 5661 Ć ln(5661) ā 48919, and here it is 55799.
- 4
55799 has no twin: neither 55797 nor 55801 is prime.
Primes around the 5661st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5658 | 55763 | 30 |
| 5659 | 55787 | 24 |
| 5660 | 55793 | 6 |
| 5661 | 55799 | 6 |
| 5662 | 55807 | 8 |
| 5663 | 55813 | 6 |
| 5664 | 55817 | 4 |
Questions
What is the 5661st prime number?
55799.
Which prime number is 55799?
55799 is the 5661st prime number.
What is the sum of the first 5661 primes?
148,937,874.