Bounded gaps between primes

Bounded gaps between primes

Annals of Mathematics

Pages 1121-1174 from Volume 179 (2014), Issue 3 by Yitang Zhang

Abstract

It is proved that

lim infn→∞(pn+1−pn)<7×107,
where pn is the n-th prime.
Our method is a refinement of the recent work of Goldston, Pintz and Yıldırım on the small gaps between consecutive primes. A major ingredient of the proof is a stronger version of the Bombieri-Vinogradov theorem that is applicable when the moduli are free from large prime divisors only, but it is adequate for our purpose.

Technology in the Classroom: Don’t Believe the Hype

Technology in the Classroom: Don’t Believe the Hype.

proclaiming that digital technology holds the golden key to unlocking students motivation and engagement.

It’s like a deafening drumbeat: Every child should have a laptop. Every child should have an iPad. Textbooks are finished. Online education is the future. And teachers? Well, they would be a nice extra. Failure to comply, we’re often warned, would weaken our schools and cripple the nation’s ability to compete in the 21st century.

As a result, huge amounts of cash have been spent in an effort to deliver countless digital tools to classrooms across the country. Far from abating, the level of enthusiasm seems to increase with every new technological advancement.

But maybe it’s time to step back and actually assess the actual evidence about the limits – and successes- of technology in the classroom. What really has been delivered in the way of improved student learning?

Dekker Foundation- Grants Program

********************************************************************************* Program Number: 16621
Title: Grants Program

Sponsor: Dekker Foundation

SYNOPSIS: The sponsor awards the majority of its grants to
organizations that promote education and the advancement of knowledge. Because learning occurs in many different contexts, recipients can range from organizations implementing technology in education to academic programs dedicated to scientific and medical research.

Deadline(s):
Established Date: 10/05/2010
Follow-Up Date: 02/01/2016
Review Date: 12/30/2014

Contact:

Address: 8 Wells Hill Road
Weston, CT 06883
U.S.A.
E-mail: dekkerfoundation@dekker.com
Web Site: http://www.dekkerfoundation.org/grants.html
Program URL: http://www.dekkerfoundation.org/apply.html
Tel: 203-227-3596
Fax: 203-226-5516
Deadline Ind: Receipt
Deadline Open: Yes
*See Restrictions for further information.

DEADLINE NOTE
Applications are considered throughout the year. Before sending a full proposal, please first submit a letter of inquiry.

Award Type(s): General Project

Citizenship/Country of Applying Institution:
Any/No Restrictions

Locations Tenable: U.S.A. Institution (including U.S. Territories)

Appl Type(s): Non-Profit
Tax-exempt

Target Group(s): NONE
Funding Limit: $0 NOT PROV
Duration: 0
Indirect Costs: Unspecified
Cost Sharing: No
Sponsor Type: NONE

Geo. Restricted: NO RESTRICTIONS

CFDA#:

OBJECTIVES: The sponsor awards the majority of its grants to organizations that promote education and the advancement of knowledge. Because learning occurs in many different contexts, recipients can range from organizations implementing technology in education to academic programs dedicated to scientific and medical research.

ELIGIBILITY
The sponsor grants only to tax-exempt, nonprofit organizations as defined under Section 501(c)(3) of US Internal Revenue Code. Grants to individuals are not considered. (tld)

KEYWORDS: Education/Instructional Programs
Educational Improvement
Educational/Instructional Technology
Biomedical Research, Multidisciplinary
Knowledge Based Society

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