What is the 5105th prime number?
The 5105th prime number is 49711. The next prime is 49727 (a gap of 16) and the one before is 49697.
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 5105th one is 49711.
- 2
49711 is prime because no prime up to ā49711 ā 222.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5105th prime is close to 5105 Ć ln(5105) ā 43586, and here it is 49711.
- 4
49711 has no twin: neither 49709 nor 49713 is prime.
Primes around the 5105th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5102 | 49669 | 2 |
| 5103 | 49681 | 12 |
| 5104 | 49697 | 16 |
| 5105 | 49711 | 14 |
| 5106 | 49727 | 16 |
| 5107 | 49739 | 12 |
| 5108 | 49741 | 2 |
Questions
What is the 5105th prime number?
49711.
Which prime number is 49711?
49711 is the 5105th prime number.
What is the sum of the first 5105 primes?
119,617,304.