What is the 5116th prime number?
The 5116th prime number is 49811. The next prime is 49823 (a gap of 12) and the one before is 49807.
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 5116th one is 49811.
- 2
49811 is prime because no prime up to ā49811 ā 223.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5116th prime is close to 5116 Ć ln(5116) ā 43691, and here it is 49811.
- 4
49811 has no twin: neither 49809 nor 49813 is prime.
Primes around the 5116th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5113 | 49789 | 2 |
| 5114 | 49801 | 12 |
| 5115 | 49807 | 6 |
| 5116 | 49811 | 4 |
| 5117 | 49823 | 12 |
| 5118 | 49831 | 8 |
| 5119 | 49843 | 12 |
Questions
What is the 5116th prime number?
49811.
Which prime number is 49811?
49811 is the 5116th prime number.
What is the sum of the first 5116 primes?
120,164,793.