What is the 5102nd prime number?
The 5102nd prime number is 49669. The next prime is 49681 (a gap of 12) and the one before is 49667.
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 5102nd one is 49669.
- 2
49669 is prime because no prime up to ā49669 ā 222.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5102nd prime is close to 5102 Ć ln(5102) ā 43558, and here it is 49669.
- 4
49669 is a twin prime: 49667 and 49669 are both prime.
Primes around the 5102nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5099 | 49639 | 6 |
| 5100 | 49663 | 24 |
| 5101 | 49667 | 4 |
| 5102 | 49669 | 2 |
| 5103 | 49681 | 12 |
| 5104 | 49697 | 16 |
| 5105 | 49711 | 14 |
Questions
What is the 5102nd prime number?
49669.
Which prime number is 49669?
49669 is the 5102nd prime number.
What is the sum of the first 5102 primes?
119,468,215.