What is the 1951st prime number?
The 1951st prime number is 16921. The next prime is 16927 (a gap of 6) and the one before is 16903.
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 1951st one is 16921.
- 2
16921 is prime because no prime up to ā16921 ā 130.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1951st prime is close to 1951 Ć ln(1951) ā 14781, and here it is 16921.
- 4
16921 has no twin: neither 16919 nor 16923 is prime.
Primes around the 1951st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1948 | 16889 | 6 |
| 1949 | 16901 | 12 |
| 1950 | 16903 | 2 |
| 1951 | 16921 | 18 |
| 1952 | 16927 | 6 |
| 1953 | 16931 | 4 |
| 1954 | 16937 | 6 |
Questions
What is the 1951st prime number?
16921.
Which prime number is 16921?
16921 is the 1951st prime number.
What is the sum of the first 1951 primes?
15,433,968.