What is the 5097th prime number?
The 5097th prime number is 49627. The next prime is 49633 (a gap of 6) and the one before is 49613.
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 5097th one is 49627.
- 2
49627 is prime because no prime up to ā49627 ā 222.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5097th prime is close to 5097 Ć ln(5097) ā 43510, and here it is 49627.
- 4
49627 has no twin: neither 49625 nor 49629 is prime.
Primes around the 5097th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5094 | 49597 | 38 |
| 5095 | 49603 | 6 |
| 5096 | 49613 | 10 |
| 5097 | 49627 | 14 |
| 5098 | 49633 | 6 |
| 5099 | 49639 | 6 |
| 5100 | 49663 | 24 |
Questions
What is the 5097th prime number?
49627.
Which prime number is 49627?
49627 is the 5097th prime number.
What is the sum of the first 5097 primes?
119,219,944.