What is the 4955th prime number?
The 4955th prime number is 48119. The next prime is 48121 (a gap of 2) and the one before is 48109.
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 4955th one is 48119.
- 2
48119 is prime because no prime up to ā48119 ā 219.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4955th prime is close to 4955 Ć ln(4955) ā 42158, and here it is 48119.
- 4
48119 is a twin prime: 48119 and 48121 are both prime.
Primes around the 4955th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4952 | 48079 | 6 |
| 4953 | 48091 | 12 |
| 4954 | 48109 | 18 |
| 4955 | 48119 | 10 |
| 4956 | 48121 | 2 |
| 4957 | 48131 | 10 |
| 4958 | 48157 | 26 |
Questions
What is the 4955th prime number?
48119.
Which prime number is 48119?
48119 is the 4955th prime number.
What is the sum of the first 4955 primes?
112,278,232.