What is the 5651st prime number?
The 5651st prime number is 55681. The next prime is 55691 (a gap of 10) and the one before is 55673.
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 5651st one is 55681.
- 2
55681 is prime because no prime up to ā55681 ā 235.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5651st prime is close to 5651 Ć ln(5651) ā 48822, and here it is 55681.
- 4
55681 has no twin: neither 55679 nor 55683 is prime.
Primes around the 5651st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5648 | 55663 | 2 |
| 5649 | 55667 | 4 |
| 5650 | 55673 | 6 |
| 5651 | 55681 | 8 |
| 5652 | 55691 | 10 |
| 5653 | 55697 | 6 |
| 5654 | 55711 | 14 |
Questions
What is the 5651st prime number?
55681.
Which prime number is 55681?
55681 is the 5651st prime number.
What is the sum of the first 5651 primes?
148,380,462.