Prime numbers between 60001 and 61,000
There are 88 prime numbers between 60001 and 61,000: 60013, 60017, 60029, 60037, 60041, 60077, 60083, 60089, 60091, 60101, 60103, 60107, 60127, 60133, 60139, 60149, 60161, 60167, 60169, 60209, 60217, 60223, 60251, 60257, 60259, 60271, 60289, 60293, 60317, 60331, 60337, 60343, 60353, 60373, 60383, 60397, 60413, 60427, 60443, 60449, 60457, 60493, 60497, 60509, 60521, 60527, 60539, 60589, 60601, 60607, 60611, 60617, 60623, 60631, 60637, 60647, 60649, 60659, 60661, 60679, 60689, 60703, 60719, 60727, 60733, 60737, 60757, 60761, 60763, 60773, 60779, 60793, 60811, 60821, 60859, 60869, 60887, 60889, 60899, 60901, 60913, 60917, 60919, 60923, 60937, 60943, 60953, 60961.
How to work it out
- 1
A prime has exactly two factors, 1 and itself. To list them, cross out multiples of 2, then 3, then 5, and so on up to ā61000 ā 247.0 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 88 primes between 60001 and 61,000, with a total of 5,323,758.
- 3
The biggest gap between neighbouring primes in this range is 50, after 60539 (the next prime is 60589). There are 10 twin prime pairs (primes 2 apart): (60089, 60091), (60101, 60103), (60167, 60169), (60257, 60259), (60647, 60649), (60659, 60661), (60761, 60763), (60887, 60889), (60899, 60901), (60917, 60919).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 60,001 to 61,000 | 88 | 8.8% |
Questions
How many prime numbers are there between 60001 and 61,000?
88.
What is the biggest prime number below 61,000?
60961.
What is the first prime number after 60000?
60013.