What is the 5010th prime number?
The 5010th prime number is 48733. The next prime is 48751 (a gap of 18) and the one before is 48731.
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 5010th one is 48733.
- 2
48733 is prime because no prime up to ā48733 ā 220.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5010th prime is close to 5010 Ć ln(5010) ā 42681, and here it is 48733.
- 4
48733 is a twin prime: 48731 and 48733 are both prime.
Primes around the 5010th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5007 | 48677 | 4 |
| 5008 | 48679 | 2 |
| 5009 | 48731 | 52 |
| 5010 | 48733 | 2 |
| 5011 | 48751 | 18 |
| 5012 | 48757 | 6 |
| 5013 | 48761 | 4 |
Questions
What is the 5010th prime number?
48733.
Which prime number is 48733?
48733 is the 5010th prime number.
What is the sum of the first 5010 primes?
114,941,951.