What is the 5002nd prime number?
The 5002nd prime number is 48623. The next prime is 48647 (a gap of 24) and the one before is 48619.
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 5002nd one is 48623.
- 2
48623 is prime because no prime up to ā48623 ā 220.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5002nd prime is close to 5002 Ć ln(5002) ā 42605, and here it is 48623.
- 4
48623 has no twin: neither 48621 nor 48625 is prime.
Primes around the 5002nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4999 | 48593 | 4 |
| 5000 | 48611 | 18 |
| 5001 | 48619 | 8 |
| 5002 | 48623 | 4 |
| 5003 | 48647 | 24 |
| 5004 | 48649 | 2 |
| 5005 | 48661 | 12 |
Questions
What is the 5002nd prime number?
48623.
Which prime number is 48623?
48623 is the 5002nd prime number.
What is the sum of the first 5002 primes?
114,552,501.