What is the 5108th prime number?
The 5108th prime number is 49741. The next prime is 49747 (a gap of 6) and the one before is 49739.
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 5108th one is 49741.
- 2
49741 is prime because no prime up to ā49741 ā 223.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5108th prime is close to 5108 Ć ln(5108) ā 43615, and here it is 49741.
- 4
49741 is a twin prime: 49739 and 49741 are both prime.
Primes around the 5108th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5105 | 49711 | 14 |
| 5106 | 49727 | 16 |
| 5107 | 49739 | 12 |
| 5108 | 49741 | 2 |
| 5109 | 49747 | 6 |
| 5110 | 49757 | 10 |
| 5111 | 49783 | 26 |
Questions
What is the 5108th prime number?
49741.
Which prime number is 49741?
49741 is the 5108th prime number.
What is the sum of the first 5108 primes?
119,766,511.