What is the 5131st prime number?
The 5131st prime number is 49991. The next prime is 49993 (a gap of 2) and the one before is 49957.
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 5131st one is 49991.
- 2
49991 is prime because no prime up to ā49991 ā 223.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5131st prime is close to 5131 Ć ln(5131) ā 43834, and here it is 49991.
- 4
49991 is a twin prime: 49991 and 49993 are both prime.
Primes around the 5131st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5128 | 49939 | 2 |
| 5129 | 49943 | 4 |
| 5130 | 49957 | 14 |
| 5131 | 49991 | 34 |
| 5132 | 49993 | 2 |
| 5133 | 49999 | 6 |
| 5134 | 50021 | 22 |
Questions
What is the 5131st prime number?
49991.
Which prime number is 49991?
49991 is the 5131st prime number.
What is the sum of the first 5131 primes?
120,913,316.