What is the 5117th prime number?
The 5117th prime number is 49823. The next prime is 49831 (a gap of 8) and the one before is 49811.
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 5117th one is 49823.
- 2
49823 is prime because no prime up to ā49823 ā 223.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5117th prime is close to 5117 Ć ln(5117) ā 43701, and here it is 49823.
- 4
49823 has no twin: neither 49821 nor 49825 is prime.
Primes around the 5117th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5114 | 49801 | 12 |
| 5115 | 49807 | 6 |
| 5116 | 49811 | 4 |
| 5117 | 49823 | 12 |
| 5118 | 49831 | 8 |
| 5119 | 49843 | 12 |
| 5120 | 49853 | 10 |
Questions
What is the 5117th prime number?
49823.
Which prime number is 49823?
49823 is the 5117th prime number.
What is the sum of the first 5117 primes?
120,214,616.