What is the 5113th prime number?
The 5113th prime number is 49789. The next prime is 49801 (a gap of 12) and the one before is 49787.
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 5113th one is 49789.
- 2
49789 is prime because no prime up to ā49789 ā 223.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5113th prime is close to 5113 Ć ln(5113) ā 43663, and here it is 49789.
- 4
49789 is a twin prime: 49787 and 49789 are both prime.
Primes around the 5113th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5110 | 49757 | 10 |
| 5111 | 49783 | 26 |
| 5112 | 49787 | 4 |
| 5113 | 49789 | 2 |
| 5114 | 49801 | 12 |
| 5115 | 49807 | 6 |
| 5116 | 49811 | 4 |
Questions
What is the 5113th prime number?
49789.
Which prime number is 49789?
49789 is the 5113th prime number.
What is the sum of the first 5113 primes?
120,015,374.