What is the 5114th prime number?
The 5114th prime number is 49801. The next prime is 49807 (a gap of 6) and the one before is 49789.
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 5114th one is 49801.
- 2
49801 is prime because no prime up to ā49801 ā 223.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5114th prime is close to 5114 Ć ln(5114) ā 43672, and here it is 49801.
- 4
49801 has no twin: neither 49799 nor 49803 is prime.
Primes around the 5114th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5111 | 49783 | 26 |
| 5112 | 49787 | 4 |
| 5113 | 49789 | 2 |
| 5114 | 49801 | 12 |
| 5115 | 49807 | 6 |
| 5116 | 49811 | 4 |
| 5117 | 49823 | 12 |
Questions
What is the 5114th prime number?
49801.
Which prime number is 49801?
49801 is the 5114th prime number.
What is the sum of the first 5114 primes?
120,065,175.