What is the 5130th prime number?
The 5130th prime number is 49957. The next prime is 49991 (a gap of 34) and the one before is 49943.
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 5130th one is 49957.
- 2
49957 is prime because no prime up to ā49957 ā 223.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5130th prime is close to 5130 Ć ln(5130) ā 43825, and here it is 49957.
- 4
49957 has no twin: neither 49955 nor 49959 is prime.
Primes around the 5130th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5127 | 49937 | 10 |
| 5128 | 49939 | 2 |
| 5129 | 49943 | 4 |
| 5130 | 49957 | 14 |
| 5131 | 49991 | 34 |
| 5132 | 49993 | 2 |
| 5133 | 49999 | 6 |
Questions
What is the 5130th prime number?
49957.
Which prime number is 49957?
49957 is the 5130th prime number.
What is the sum of the first 5130 primes?
120,863,325.