What is the 5083rd prime number?
The 5083rd prime number is 49463. The next prime is 49477 (a gap of 14) and the one before is 49459.
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 5083rd one is 49463.
- 2
49463 is prime because no prime up to ā49463 ā 222.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5083rd prime is close to 5083 Ć ln(5083) ā 43377, and here it is 49463.
- 4
49463 has no twin: neither 49461 nor 49465 is prime.
Primes around the 5083rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5080 | 49433 | 4 |
| 5081 | 49451 | 18 |
| 5082 | 49459 | 8 |
| 5083 | 49463 | 4 |
| 5084 | 49477 | 14 |
| 5085 | 49481 | 4 |
| 5086 | 49499 | 18 |
Questions
What is the 5083rd prime number?
49463.
Which prime number is 49463?
49463 is the 5083rd prime number.
What is the sum of the first 5083 primes?
118,526,272.