What is the 5157th prime number?
The 5157th prime number is 50231. The next prime is 50261 (a gap of 30) and the one before is 50227.
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 5157th one is 50231.
- 2
50231 is prime because no prime up to ā50231 ā 224.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5157th prime is close to 5157 Ć ln(5157) ā 44083, and here it is 50231.
- 4
50231 has no twin: neither 50229 nor 50233 is prime.
Primes around the 5157th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5154 | 50207 | 30 |
| 5155 | 50221 | 14 |
| 5156 | 50227 | 6 |
| 5157 | 50231 | 4 |
| 5158 | 50261 | 30 |
| 5159 | 50263 | 2 |
| 5160 | 50273 | 10 |
Questions
What is the 5157th prime number?
50231.
Which prime number is 50231?
50231 is the 5157th prime number.
What is the sum of the first 5157 primes?
122,216,098.