What is the 5050th prime number?
The 5050th prime number is 49123. The next prime is 49139 (a gap of 16) and the one before is 49121.
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 5050th one is 49123.
- 2
49123 is prime because no prime up to ā49123 ā 221.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5050th prime is close to 5050 Ć ln(5050) ā 43062, and here it is 49123.
- 4
49123 is a twin prime: 49121 and 49123 are both prime.
Primes around the 5050th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5047 | 49109 | 6 |
| 5048 | 49117 | 8 |
| 5049 | 49121 | 4 |
| 5050 | 49123 | 2 |
| 5051 | 49139 | 16 |
| 5052 | 49157 | 18 |
| 5053 | 49169 | 12 |
Questions
What is the 5050th prime number?
49123.
Which prime number is 49123?
49123 is the 5050th prime number.
What is the sum of the first 5050 primes?
116,899,193.