What is the 4957th prime number?
The 4957th prime number is 48131. The next prime is 48157 (a gap of 26) and the one before is 48121.
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 4957th one is 48131.
- 2
48131 is prime because no prime up to ā48131 ā 219.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4957th prime is close to 4957 Ć ln(4957) ā 42177, and here it is 48131.
- 4
48131 has no twin: neither 48129 nor 48133 is prime.
Primes around the 4957th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4954 | 48109 | 18 |
| 4955 | 48119 | 10 |
| 4956 | 48121 | 2 |
| 4957 | 48131 | 10 |
| 4958 | 48157 | 26 |
| 4959 | 48163 | 6 |
| 4960 | 48179 | 16 |
Questions
What is the 4957th prime number?
48131.
Which prime number is 48131?
48131 is the 4957th prime number.
What is the sum of the first 4957 primes?
112,374,484.