What is the 5096th prime number?
The 5096th prime number is 49613. The next prime is 49627 (a gap of 14) and the one before is 49603.
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 5096th one is 49613.
- 2
49613 is prime because no prime up to ā49613 ā 222.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5096th prime is close to 5096 Ć ln(5096) ā 43501, and here it is 49613.
- 4
49613 has no twin: neither 49611 nor 49615 is prime.
Primes around the 5096th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5093 | 49559 | 10 |
| 5094 | 49597 | 38 |
| 5095 | 49603 | 6 |
| 5096 | 49613 | 10 |
| 5097 | 49627 | 14 |
| 5098 | 49633 | 6 |
| 5099 | 49639 | 6 |
Questions
What is the 5096th prime number?
49613.
Which prime number is 49613?
49613 is the 5096th prime number.
What is the sum of the first 5096 primes?
119,170,317.