What is the 1956th prime number?
The 1956th prime number is 16963. The next prime is 16979 (a gap of 16) and the one before is 16943.
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 1956th one is 16963.
- 2
16963 is prime because no prime up to ā16963 ā 130.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1956th prime is close to 1956 Ć ln(1956) ā 14824, and here it is 16963.
- 4
16963 has no twin: neither 16961 nor 16965 is prime.
Primes around the 1956th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1953 | 16931 | 4 |
| 1954 | 16937 | 6 |
| 1955 | 16943 | 6 |
| 1956 | 16963 | 20 |
| 1957 | 16979 | 16 |
| 1958 | 16981 | 2 |
| 1959 | 16987 | 6 |
Questions
What is the 1956th prime number?
16963.
Which prime number is 16963?
16963 is the 1956th prime number.
What is the sum of the first 1956 primes?
15,518,669.