What is the 5291st prime number?
The 5291st prime number is 51691. The next prime is 51713 (a gap of 22) and the one before is 51683.
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 5291st one is 51691.
- 2
51691 is prime because no prime up to ā51691 ā 227.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5291st prime is close to 5291 Ć ln(5291) ā 45364, and here it is 51691.
- 4
51691 has no twin: neither 51689 nor 51693 is prime.
Primes around the 5291st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5288 | 51673 | 14 |
| 5289 | 51679 | 6 |
| 5290 | 51683 | 4 |
| 5291 | 51691 | 8 |
| 5292 | 51713 | 22 |
| 5293 | 51719 | 6 |
| 5294 | 51721 | 2 |
Questions
What is the 5291st prime number?
51691.
Which prime number is 51691?
51691 is the 5291st prime number.
What is the sum of the first 5291 primes?
129,051,052.