What is the 5072nd prime number?
The 5072nd prime number is 49367. The next prime is 49369 (a gap of 2) and the one before is 49363.
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 5072nd one is 49367.
- 2
49367 is prime because no prime up to ā49367 ā 222.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5072nd prime is close to 5072 Ć ln(5072) ā 43272, and here it is 49367.
- 4
49367 is a twin prime: 49367 and 49369 are both prime.
Primes around the 5072nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5069 | 49333 | 2 |
| 5070 | 49339 | 6 |
| 5071 | 49363 | 24 |
| 5072 | 49367 | 4 |
| 5073 | 49369 | 2 |
| 5074 | 49391 | 22 |
| 5075 | 49393 | 2 |
Questions
What is the 5072nd prime number?
49367.
Which prime number is 49367?
49367 is the 5072nd prime number.
What is the sum of the first 5072 primes?
117,982,647.