What is the 5012th prime number?
The 5012th prime number is 48757. The next prime is 48761 (a gap of 4) and the one before is 48751.
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 5012th one is 48757.
- 2
48757 is prime because no prime up to ā48757 ā 220.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5012th prime is close to 5012 Ć ln(5012) ā 42700, and here it is 48757.
- 4
48757 has no twin: neither 48755 nor 48759 is prime.
Primes around the 5012th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5009 | 48731 | 52 |
| 5010 | 48733 | 2 |
| 5011 | 48751 | 18 |
| 5012 | 48757 | 6 |
| 5013 | 48761 | 4 |
| 5014 | 48767 | 6 |
| 5015 | 48779 | 12 |
Questions
What is the 5012th prime number?
48757.
Which prime number is 48757?
48757 is the 5012th prime number.
What is the sum of the first 5012 primes?
115,039,459.