What is the 4956th prime number?
The 4956th prime number is 48121. The next prime is 48131 (a gap of 10) and the one before is 48119.
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 4956th one is 48121.
- 2
48121 is prime because no prime up to ā48121 ā 219.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4956th prime is close to 4956 Ć ln(4956) ā 42167, and here it is 48121.
- 4
48121 is a twin prime: 48119 and 48121 are both prime.
Primes around the 4956th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4953 | 48091 | 12 |
| 4954 | 48109 | 18 |
| 4955 | 48119 | 10 |
| 4956 | 48121 | 2 |
| 4957 | 48131 | 10 |
| 4958 | 48157 | 26 |
| 4959 | 48163 | 6 |
Questions
What is the 4956th prime number?
48121.
Which prime number is 48121?
48121 is the 4956th prime number.
What is the sum of the first 4956 primes?
112,326,353.