What is the 5099th prime number?
The 5099th prime number is 49639. The next prime is 49663 (a gap of 24) and the one before is 49633.
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 5099th one is 49639.
- 2
49639 is prime because no prime up to ā49639 ā 222.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5099th prime is close to 5099 Ć ln(5099) ā 43529, and here it is 49639.
- 4
49639 has no twin: neither 49637 nor 49641 is prime.
Primes around the 5099th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5096 | 49613 | 10 |
| 5097 | 49627 | 14 |
| 5098 | 49633 | 6 |
| 5099 | 49639 | 6 |
| 5100 | 49663 | 24 |
| 5101 | 49667 | 4 |
| 5102 | 49669 | 2 |
Questions
What is the 5099th prime number?
49639.
Which prime number is 49639?
49639 is the 5099th prime number.
What is the sum of the first 5099 primes?
119,319,216.