What is the 2955th prime number?
The 2955th prime number is 26947. The next prime is 26951 (a gap of 4) and the one before is 26927.
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, ⦠The 2955th one is 26947.
- 2
26947 is prime because no prime up to ā26947 ā 164.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2955th prime is close to 2955 Ć ln(2955) ā 23614, and here it is 26947.
- 4
26947 has no twin: neither 26945 nor 26949 is prime.
Primes around the 2955th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2952 | 26903 | 10 |
| 2953 | 26921 | 18 |
| 2954 | 26927 | 6 |
| 2955 | 26947 | 20 |
| 2956 | 26951 | 4 |
| 2957 | 26953 | 2 |
| 2958 | 26959 | 6 |
Questions
What is the 2955th prime number?
26947.
Which prime number is 26947?
26947 is the 2955th prime number.
What is the sum of the first 2955 primes?
37,421,736.