What is the 5098th prime number?
The 5098th prime number is 49633. The next prime is 49639 (a gap of 6) and the one before is 49627.
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 5098th one is 49633.
- 2
49633 is prime because no prime up to ā49633 ā 222.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5098th prime is close to 5098 Ć ln(5098) ā 43520, and here it is 49633.
- 4
49633 has no twin: neither 49631 nor 49635 is prime.
Primes around the 5098th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5095 | 49603 | 6 |
| 5096 | 49613 | 10 |
| 5097 | 49627 | 14 |
| 5098 | 49633 | 6 |
| 5099 | 49639 | 6 |
| 5100 | 49663 | 24 |
| 5101 | 49667 | 4 |
Questions
What is the 5098th prime number?
49633.
Which prime number is 49633?
49633 is the 5098th prime number.
What is the sum of the first 5098 primes?
119,269,577.