What is the 5014th prime number?
The 5014th prime number is 48767. The next prime is 48779 (a gap of 12) and the one before is 48761.
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 5014th one is 48767.
- 2
48767 is prime because no prime up to ā48767 ā 220.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5014th prime is close to 5014 Ć ln(5014) ā 42719, and here it is 48767.
- 4
48767 has no twin: neither 48765 nor 48769 is prime.
Primes around the 5014th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5011 | 48751 | 18 |
| 5012 | 48757 | 6 |
| 5013 | 48761 | 4 |
| 5014 | 48767 | 6 |
| 5015 | 48779 | 12 |
| 5016 | 48781 | 2 |
| 5017 | 48787 | 6 |
Questions
What is the 5014th prime number?
48767.
Which prime number is 48767?
48767 is the 5014th prime number.
What is the sum of the first 5014 primes?
115,136,987.