What is the 5107th prime number?
The 5107th prime number is 49739. The next prime is 49741 (a gap of 2) and the one before is 49727.
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 5107th one is 49739.
- 2
49739 is prime because no prime up to ā49739 ā 223.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5107th prime is close to 5107 Ć ln(5107) ā 43605, and here it is 49739.
- 4
49739 is a twin prime: 49739 and 49741 are both prime.
Primes around the 5107th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5104 | 49697 | 16 |
| 5105 | 49711 | 14 |
| 5106 | 49727 | 16 |
| 5107 | 49739 | 12 |
| 5108 | 49741 | 2 |
| 5109 | 49747 | 6 |
| 5110 | 49757 | 10 |
Questions
What is the 5107th prime number?
49739.
Which prime number is 49739?
49739 is the 5107th prime number.
What is the sum of the first 5107 primes?
119,716,770.