What is the 5073rd prime number?
The 5073rd prime number is 49369. The next prime is 49391 (a gap of 22) and the one before is 49367.
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 5073rd one is 49369.
- 2
49369 is prime because no prime up to ā49369 ā 222.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5073rd prime is close to 5073 Ć ln(5073) ā 43281, and here it is 49369.
- 4
49369 is a twin prime: 49367 and 49369 are both prime.
Primes around the 5073rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5070 | 49339 | 6 |
| 5071 | 49363 | 24 |
| 5072 | 49367 | 4 |
| 5073 | 49369 | 2 |
| 5074 | 49391 | 22 |
| 5075 | 49393 | 2 |
| 5076 | 49409 | 16 |
Questions
What is the 5073rd prime number?
49369.
Which prime number is 49369?
49369 is the 5073rd prime number.
What is the sum of the first 5073 primes?
118,032,016.