What is the 5017th prime number?
The 5017th prime number is 48787. The next prime is 48799 (a gap of 12) and the one before is 48781.
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 5017th one is 48787.
- 2
48787 is prime because no prime up to ā48787 ā 220.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5017th prime is close to 5017 Ć ln(5017) ā 42748, and here it is 48787.
- 4
48787 has no twin: neither 48785 nor 48789 is prime.
Primes around the 5017th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5014 | 48767 | 6 |
| 5015 | 48779 | 12 |
| 5016 | 48781 | 2 |
| 5017 | 48787 | 6 |
| 5018 | 48799 | 12 |
| 5019 | 48809 | 10 |
| 5020 | 48817 | 8 |
Questions
What is the 5017th prime number?
48787.
Which prime number is 48787?
48787 is the 5017th prime number.
What is the sum of the first 5017 primes?
115,283,334.