Payday installment loans Article about 800 words for $ 12

Payday installment loans Article about 800 words

Instantaneous download article on "installment loan of the day of payment"

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There are different types of loans for borrowers with different types of interest rates and payment options. Personal loans, car
Loans, mortgage loans, mortgages, insurance policies loans, payday loans are
The example of loans. Some loans are easy to borrow and there is no guarantee
and low interest rate.

In addition, there are some loans with a high interest rate and guarantees. Most loans are considered installment loans as borrowers
Pay it in installments, monthly.

.

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number theory: is there a maximum of $ m in mathbb {N} $ such that for some cousins ​​$ p $, $ p_r = p + displaystyle sum_ {n = 1} ^ r 2 ^ n $ is prime for $ r = 1,2, …, m $?

Is there a maximum? $ m en mathbb {N} $ such that for some prime $ p $, $ p_r = p + displaystyle sum_ {n = 1} ^ r 2 ^ n $ is a cousin to $ r = 1,2, …, m $?

There is probably no simple (or known) answer to this question, but I thought it was worth asking.

So far, I have concluded that $ p $ must necessarily have $ 7 $ as its first digit, that is, $ p = 7 , ( text {mod} , 10) $. Yes $ p = x , ( text {mod} , 10) $ for some $ x in {1,3,9 } $, the process is cut in some $ p_k = 5 , ( text {mod} , 10) $.

For example, yes $ p = 1 , ( text {mod} , 10) $, begin {align} p & = 1 , ( text {mod} , 10) \ p_1 & = 3 , ( text {mod} , 10) \ p_2 & = 5 , ( text {mod} , 10) Rightarrow p_2 notin mathbb {P} end {align}

by $ p = 7 , ( text {mod} , 10) $, we have
begin {align} p_ {4k} & = 7 , ( text {mod} , 10) \ p_ {4k + 1} & = 9 , ( text {mod} , 10) \ p_ {4k + 2} & = 3 , ( text {mod} , 10) \ p_ {4k + 3} & = 1 , ( text {mod} , 10) end {align}

for $ k in mathbb {N} cup {0 } $ (Let's suppose for simplicity that $ p_0 = p $).

Consider these two statements:
begin {align} existence p in mathbb {P} &: ; p_r = p + sum_ {n = 1} ^ r 2 ^ n in mathbb {P} ; ; forall r in mathbb {N} tag {1} \ exists m in mathbb {N} &: ; text {for some $ p in mathbb {P} $}, ; p_r = p + sum_ {n = 1} ^ r 2 ^ n in mathbb {P} ; ; forall r in {1,2, …, m } tag {2} \ & ; ; ; ; , text {and} ; forall p in mathbb {P}, ; p_ {m + 1} notin mathbb {P} end {align}

My strategy is simple: try $ (1) Rightarrow (2) $ false or test $ (2) Rightarrow (1) $ false.

Through some computer work, I found that $ m ge $ 9 for $ p = 2397347207 $:

2397347207, 2397347209, 2397347213, 2397347221, 2397347237, 2397347269, 2397347333, 2397347461, 2397347717, 2397348229

If someone can resolve this and / or direct me to useful material, please post it.

inequalities – Show that this expression is greater than 1/2

Leave $ 0 <x <and <1 $ be given Try out
$$ 4x ^ {2} + 4y2-4xy-4y + 1 + frac {4} { pi ^ 2} Big[
sin^{2}(pi x)+ sin^{2}(pi y) + sin^{2}[pi(y-x)] Big] geq frac {1} {2} $$

I have been working on this problem for a while and I have hit a wall. I have traced this and it seems to be true. I also tried to prove that it is greater than some other fraction like $ frac {2} {5} $ or something. So far, I have tried to make partial derivatives with respect to x, but unfortunately, it is very difficult to find the roots, since it involves the equation that involves $ sin (2 pi x) $, $ sin[2 pi (x-y)]$ Y $ x $. I think the expansion of the Taylor series would look very ugly. I would really appreciate it if anyone had any suggestions on what to try or some branch of mathematics that I can read, since I'm not sure how to handle this type of expression, except the elementary tool that I have.

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