What is the 4959th prime number?
The 4959th prime number is 48163. The next prime is 48179 (a gap of 16) and the one before is 48157.
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 4959th one is 48163.
- 2
48163 is prime because no prime up to ā48163 ā 219.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4959th prime is close to 4959 Ć ln(4959) ā 42196, and here it is 48163.
- 4
48163 has no twin: neither 48161 nor 48165 is prime.
Primes around the 4959th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4956 | 48121 | 2 |
| 4957 | 48131 | 10 |
| 4958 | 48157 | 26 |
| 4959 | 48163 | 6 |
| 4960 | 48179 | 16 |
| 4961 | 48187 | 8 |
| 4962 | 48193 | 6 |
Questions
What is the 4959th prime number?
48163.
Which prime number is 48163?
48163 is the 4959th prime number.
What is the sum of the first 4959 primes?
112,470,804.